History of Mott polynomials $s_n(x)$

 Display properties:   number-header: $s_n(x)$-Numbers: []+Numbers:+- params:+    n: '0'+  number: '1'+- params:+    n: '1'+  number: -1/2*x+- params:+    n: '2'+  number: 1/4*x^2+- params:+    n: '3'+  number: -1/8*x^3 - 3/4*x+- params:+    n: '4'+  number: 1/16*x^4 + 3/2*x^2+- params:+    n: '5'+  number: -1/32*x^5 - 15/8*x^3 - 15/2*x+- params:+    n: '6'+  number: 1/64*x^6 + 15/8*x^4 + 225/8*x^2+- params:+    n: '7'+  number: -1/128*x^7 - 105/64*x^5 - 945/16*x^3 - 1575/8*x+- params:+    n: '8'+  number: 1/256*x^8 + 21/16*x^6 + 735/8*x^4 + 2205/2*x^2+- params:+    n: '9'+  number: -1/512*x^9 - 63/64*x^7 - 945/8*x^5 - 6615/2*x^3 - 19845/2*x+- params:+    n: '10'+  number: 1/1024*x^10 + 45/64*x^8 + 8505/64*x^6 + 14175/2*x^4 + 297675/4*x^2+- params:+    n: '11'+  number: -1/2048*x^11 - 495/1024*x^9 - 17325/128*x^7 - 779625/64*x^5 - 2338875/8*x^3+    - 3274425/4*x+- params:+    n: '12'+  number: 1/4096*x^12 + 165/512*x^10 + 16335/128*x^8 + 571725/32*x^6 + 25727625/32*x^4+    + 15436575/2*x^2+- params:+    n: '13'+  number: -1/8192*x^13 - 429/2048*x^11 - 57915/512*x^9 - 1486485/64*x^7 - 111486375/64*x^5+    - 602026425/16*x^3 - 200675475/2*x+- params:+    n: '14'+  number: 1/16384*x^14 + 273/2048*x^12 + 195195/2048*x^10 + 1756755/64*x^8 + 405810405/128*x^6+    + 2029052025/16*x^4 + 18261468225/16*x^2+- params:+    n: '15'+  number: -1/32768*x^15 - 1365/16384*x^13 - 315315/4096*x^11 - 61486425/2048*x^9 -+    1291214925/256*x^7 - 42610092525/128*x^5 - 213050462625/32*x^3 - 273922023375/16*x+- params:+    n: '16'+  number: 1/65536*x^16 + 105/2048*x^14 + 61425/1024*x^12 + 7882875/256*x^10 + 922296375/128*x^8+    + 11620934325/16*x^6 + 213050462625/8*x^4 + 456536705625/2*x^2+- params:+    n: '17'+  number: -1/131072*x^17 - 255/8192*x^15 - 23205/512*x^13 - 3828825/128*x^11 - 1206079875/128*x^9+    - 21950653725/16*x^7 - 329259805875/4*x^5 - 1552224799125*x^3 - 7761123995625/2*x+- params:+    n: '18'+  number: 1/262144*x^18 + 153/8192*x^16 + 273105/8192*x^14 + 3550365/128*x^12 + 2929051125/256*x^10+    + 36906044175/16*x^8 + 3358450019925/16*x^6 + 7196678614125*x^4 + 237490394266125/4*x^2+- params:+    n: '19'+  number: -1/524288*x^19 - 2907/262144*x^17 - 392445/16384*x^15 - 202370805/8192*x^13+    - 6678236565/512*x^11 - 901561936275/256*x^9 - 14725511625825/32*x^7 - 410210681005125/16*x^5+    - 3691896129046125/8*x^3 - 4512317491056375/4*x+- params:+    n: '20'+  number: 1/1048576*x^20 + 855/131072*x^18 + 276165/16384*x^16 + 86991975/4096*x^14+    + 57675679425/4096*x^12 + 634432473675/128*x^10 + 28549461315375/32*x^8 + 599538687622875/8*x^6+    + 38970014695486875/16*x^4 + 38970014695486875/2*x^2+- params:+    n: '21'+  number: -1/2097152*x^21 - 1995/524288*x^19 - 1526175/131072*x^17 - 144986625/8192*x^15+    - 118744045875/8192*x^13 - 13323081947175/2048*x^11 - 199846229207625/128*x^9+    - 2997693438114375/16*x^7 - 314757811002009375/32*x^5 - 1363950514342040625/8*x^3+    - 818370308605224375/2*x+- params:+    n: '22'+  number: 1/4194304*x^22 + 1155/524288*x^20 + 4147605/524288*x^18 + 117515475/8192*x^16+    + 234443372625/16384*x^14 + 16457924758275/2048*x^12 + 5129386549662375/2048*x^10+    + 6594925563851625/16*x^8 + 2077401552613261875/64*x^6 + 8078783815718240625/8*x^4+    + 63014513762602276875/8*x^2+- params:+    n: '23'+  number: -1/8388608*x^23 - 5313/4194304*x^21 - 5552085/1048576*x^19 - 5946283035/524288*x^17+    - 445971227625/32768*x^15 - 154216850512725/16384*x^13 - 15267468200759775/4096*x^11+    - 1668516167654461125/2048*x^9 - 11679613173581227875/128*x^7 - 291990329339530696875/64*x^5+    - 1226359383226028926875/16*x^3 - 1449333816539852368125/8*x+- params:+    n: '24'+  number: 1/16777216*x^24 + 759/1048576*x^22 + 1832985/524288*x^20 + 1149281595/131072*x^18+    + 410293529415/32768*x^16 + 43080820588575/4096*x^14 + 10640962685378025/2048*x^12+    + 752468075608874625/512*x^10 + 115127615568157817625/512*x^8 + 268631102992368241125/16*x^6+    + 4029466544885523616875/8*x^4 + 7692617949326908723125/2*x^2+- params:+    n: '25'+  number: -1/33554432*x^25 - 1725/4194304*x^23 - 1195425/524288*x^21 - 870667875/131072*x^19+    - 1465334033625/131072*x^17 - 92316044118375/8192*x^15 - 14001266691286875/2048*x^13+    - 1254113459348124375/512*x^11 - 507915951035990371875/1024*x^9 - 6715777574809206028125/128*x^7+    - 20147332724427618084375/8*x^5 - 82420906599931164890625/2*x^3 - 192315448733172718078125/2*x+- params:+    n: '26'+  number: 1/67108864*x^26 + 975/4194304*x^24 + 6166875/4194304*x^22 + 647521875/131072*x^20+    + 2546703534375/262144*x^18 + 95246712185625/8192*x^16 + 70006333456434375/8192*x^14+    + 1950176432000671875/512*x^12 + 2037934371440702109375/2048*x^10 + 18341409342966318984375/128*x^8+    + 1309576627087795175484375/128*x^6 + 595262103221725079765625/2*x^4 + 8928931548325876196484375/4*x^2+- params:+    n: '27'+  number: -1/134217728*x^27 - 8775/67108864*x^25 - 7871175/8388608*x^23 - 15152011875/4194304*x^21+    - 4318323384375/524288*x^19 - 3039235997923125/262144*x^17 - 167157979885771875/16384*x^15+    - 45634128508815721875/8192*x^13 - 7529631203954594109375/4096*x^11 - 715314964375686440390625/2048*x^9+    - 9012968551133649148921875/256*x^7 - 208936998230825502997734375/128*x^5 - 208936998230825502997734375/8*x^3+    - 241081151804798657305078125/4*x+- params:+    n: '28'+  number: 1/268435456*x^28 + 2457/33554432*x^26 + 4975425/8388608*x^24 + 5454724275/2097152*x^22+    + 14318651221875/2097152*x^20 + 1469093615364375/131072*x^18 + 191471867869156875/16384*x^16+    + 31592858198410884375/4096*x^14 + 25874550864498514303125/8192*x^12 + 790611276415232381484375/1024*x^10+    + 27038905653400947446765625/256*x^8 + 464577560772070824312609375/64*x^6 + 13163030888542006688857265625/64*x^4+    + 3037622512740463082043984375/2*x^2+- params:+    n: '29'+  number: -1/536870912*x^29 - 5481/134217728*x^27 - 12469275/33554432*x^25 - 7743419775/4194304*x^23+    - 23253489584325/4194304*x^21 - 11045407552554375/1048576*x^19 - 1689947355540819375/131072*x^17+    - 83290262523083240625/8192*x^15 - 83373552785606323865625/16384*x^13 - 6419763564491686937653125/4096*x^11+    - 288889360402125912194390625/1024*x^9 - 3492934993952976938350359375/128*x^7+    - 157182074727883962225766171875/128*x^5 - 616637370086314005654928828125/32*x^3+    - 88091052869473429379275546875/2*x+- params:+    n: '30'+  number: 1/1073741824*x^30 + 3045/134217728*x^28 + 30995055/134217728*x^26 + 5424134625/4194304*x^24+    + 37052263623375/8388608*x^22 + 10115267969181375/1048576*x^20 + 14414256856083459375/1048576*x^18+    + 105018157094322346875/8192*x^16 + 253618849382788467703125/32768*x^14 + 12089165153912916960515625/4096*x^12+    + 2792597150553883817879109375/4096*x^10 + 11424261070447706527687265625/128*x^8+    + 1519426722369544968182406328125/256*x^6 + 5259554038971501812939098828125/32*x^4+    + 38319607998220941779984862890625/32*x^2+- params:+    n: '31'+  number: -1/2147483648*x^31 - 13485/1073741824*x^29 - 38229975/268435456*x^27 - 120105838125/134217728*x^25+    - 58011119814375/16777216*x^23 - 72363070856451375/8388608*x^21 - 29789464169239149375/2097152*x^19+    - 16277814349619963765625/1048576*x^17 - 732501645732898369453125/65536*x^15 -+    170347327168772920807265625/32768*x^13 - 12367215952452914050607484375/8192*x^11+    - 1062456279551636707074915703125/4096*x^9 - 12395323261435761582540683203125/512*x^7+    - 271743625346860927001853439453125/256*x^5 - 1048153983480749289864291837890625/64*x^3+    - 1187907847944849195179530749609375/32*x+- params:+    n: '32'+  number: 1/4294967296*x^32 + 465/67108864*x^30 + 2926245/33554432*x^28 + 5135559975/8388608*x^26+    + 11169842945625/4194304*x^24 + 3956358371340375/524288*x^22 + 3738758660916654375/262144*x^20+    + 1187322929031103239375/65536*x^18 + 504612244838218876734375/32768*x^16 + 17661428569337660685703125/2048*x^14+    + 3168460285339176327015140625/1024*x^12 + 174265315693654697985832734375/256*x^10+    + 10978714888700245973107462265625/128*x^8 + 88674235639501986705867964453125/16*x^6+    + 1203436055107526962436779517578125/8*x^4 + 2166184899193548532386203131640625/2*x^2+- params:+    n: '33'+  number: -1/8589934592*x^33 - 1023/268435456*x^31 - 445005/8388608*x^29 - 869094765/2097152*x^27+    - 4236836979375/2097152*x^25 - 1695582159145875/262144*x^23 - 913918783779626625/65536*x^21+    - 334885954342106041875/16384*x^19 - 666088163186448917289375/32768*x^17 - 27753673466102038220390625/2048*x^15+    - 1515350571249171286833328125/256*x^13 - 104559189416192818791499640625/64*x^11+    - 17252266253671815100597440703125/64*x^9 - 195083318406904370752909521796875/8*x^7+    - 2090178411502546829495459162109375/2*x^5 - 15885355927419355904165489632031250*x^3+    - 71484101673387101568744703344140625/2*x+- params:+    n: '34'+  number: 1/17179869184*x^34 + 561/268435456*x^32 + 8608545/268435456*x^30 + 582511545/2097152*x^28+    + 6338308121145/4194304*x^26 + 1426119327257625/262144*x^24 + 3487812501363064875/262144*x^22+    + 366220312643121811875/16384*x^20 + 1690839183473293405426875/65536*x^18 + 41519495505288649177704375/2048*x^16+    + 21797735140276540818294796875/2048*x^14 + 231848637401123206885499203125/64*x^12+    + 97762842104140285570052163984375/128*x^10 + 744501643716145251648858787265625/8*x^8+    + 46903603554117150853878103597734375/8*x^6 + 156345345180390502846260345325781250*x^4+    + 4455842337641129331118419841784765625/4*x^2+- params:+    n: '35'+  number: -1/34359738368*x^35 - 19635/17179869184*x^33 - 10347645/536870912*x^31 -+    49513481325/268435456*x^29 - 9358047970425/8388608*x^27 - 18856466660406375/4194304*x^25+    - 6505480997840199375/524288*x^23 - 6225745314933070801875/262144*x^21 - 4140120634430492083246875/131072*x^19+    - 1900315371203595866210315625/65536*x^17 - 74112299476940238782202309375/4096*x^15+    - 15327771028185367566319113984375/2048*x^13 - 505816443930117129688530761484375/256*x^11+    - 40270770728282402248279179856640625/128*x^9 - 442978478011106424731070978423046875/16*x^7+    - 9302548038233234919352490546883984375/8*x^5 - 139538220573498523790287358203259765625/8*x^3+    - 155954481817439526589144694462466796875/4*x+- params:+    n: '36'+  number: 1/68719476736*x^36 + 5355/8589934592*x^34 + 6185025/536870912*x^32 + 16297540875/134217728*x^30+    + 109177226321625/134217728*x^28 + 7664241287778075/2097152*x^26 + 5939786998028008125/524288*x^24+    + 3220213093930898690625/131072*x^22 + 9805548871019586512953125/262144*x^20 ++    1304137999845605006222765625/32768*x^18 + 119719868385826539571249884375/4096*x^16+    + 14856147304241202410432372015625/1024*x^14 + 4828247873878390783390520905078125/1024*x^12+    + 61281607629994959943033534564453125/64*x^10 + 1812184682772708101172563093548828125/16*x^8+    + 27907644114699704758057471640651953125/4*x^6 + 2930302632043468999596034522268455078125/16*x^4+    + 2585561145920707940820030460825107421875/2*x^2+- params:+    n: '37'+  number: -1/137438953472*x^37 - 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