Where each entry of Hermite polynomials in physicist's convention came from

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51 entries.

n value last changed by
0 1 2026-08-09flattening
1 2*x 2026-08-09flattening
2 4*x^2 - 2 2026-08-09flattening
3 8*x^3 - 12*x 2026-08-09flattening
4 16*x^4 - 48*x^2 + 12 2026-08-09flattening
5 32*x^5 - 160*x^3 + 120*x 2026-08-09flattening
6 64*x^6 - 480*x^4 + 720*x^2 - 120 2026-08-09flattening
7 128*x^7 - 1344*x^5 + 3360*x^3 - 1680*x 2026-08-09flattening
8 256*x^8 - 3584*x^6 + 13440*x^4 - 13440*x^2 + 1680 2026-08-09flattening
9 512*x^9 - 9216*x^7 + 48384*x^5 - 80640*x^3 + 30240*x 2026-08-09flattening
10 1024*x^10 - 23040*x^8 + 161280*x^6 - 403200*x^4 + 302400*x^2 - 30240 2026-08-09flattening
11 2048*x^11 - 56320*x^9 + 506880*x^7 - 1774080*x^5 + 2217600*x^3 - 6652… 2026-08-09flattening
12 4096*x^12 - 135168*x^10 + 1520640*x^8 - 7096320*x^6 + 13305600*x^4 - … 2026-08-09flattening
13 8192*x^13 - 319488*x^11 + 4392960*x^9 - 26357760*x^7 + 69189120*x^5 -… 2026-08-09flattening
14 16384*x^14 - 745472*x^12 + 12300288*x^10 - 92252160*x^8 + 322882560*x… 2026-08-09flattening
15 32768*x^15 - 1720320*x^13 + 33546240*x^11 - 307507200*x^9 + 138378240… 2026-08-09flattening
16 65536*x^16 - 3932160*x^14 + 89456640*x^12 - 984023040*x^10 + 55351296… 2026-08-09flattening
17 131072*x^17 - 8912896*x^15 + 233963520*x^13 - 3041525760*x^11 + 20910… 2026-08-09flattening
18 262144*x^18 - 20054016*x^16 + 601620480*x^14 - 9124577280*x^12 + 7527… 2026-08-09flattening
19 524288*x^19 - 44826624*x^17 + 1524105216*x^15 - 26671841280*x^13 + 26… 2026-08-09flattening
20 1048576*x^20 - 99614720*x^18 + 3810263040*x^16 - 76205260800*x^14 + 8… 2026-08-09flattening
21 2097152*x^21 - 220200960*x^19 + 9413591040*x^17 - 213374730240*x^15 +… 2026-08-09flattening
22 4194304*x^22 - 484442112*x^20 + 23011000320*x^18 - 586780508160*x^16 … 2026-08-09flattening
23 8388608*x^23 - 1061158912*x^21 + 55710842880*x^19 - 1587759022080*x^1… 2026-08-09flattening
24 16777216*x^24 - 2315255808*x^22 + 133706022912*x^20 - 4234024058880*x… 2026-08-09flattening
25 33554432*x^25 - 5033164800*x^23 + 318347673600*x^21 - 11142168576000*… 2026-08-09flattening
26 67108864*x^26 - 10905190400*x^24 + 752458137600*x^22 - 28969638297600… 2026-08-09flattening
27 134217728*x^27 - 23555211264*x^25 + 1766640844800*x^23 - 744933556224… 2026-08-09flattening
28 268435456*x^28 - 50734301184*x^26 + 4122161971200*x^24 - 189619450675… 2026-08-09flattening
29 536870912*x^29 - 108984795136*x^27 + 9563415773184*x^25 - 47817078865… 2026-08-09flattening
30 1073741824*x^30 - 233538846720*x^28 + 22069421015040*x^26 - 119542697… 2026-08-09flattening
31 2147483648*x^31 - 499289948160*x^29 + 50677929738240*x^27 - 296465888… 2026-08-09flattening
32 4294967296*x^32 - 1065151889408*x^30 + 115835267973120*x^28 - 7297621… 2026-08-09flattening
33 8589934592*x^33 - 2267742732288*x^31 + 263625092628480*x^29 - 1783863… 2026-08-09flattening
34 17179869184*x^34 - 4818953306112*x^32 + 597550209957888*x^30 - 433223… 2026-08-09flattening
35 34359738368*x^35 - 10222022164480*x^33 + 1349306925711360*x^31 - 1045… 2026-08-09flattening
36 68719476736*x^36 - 21646635171840*x^34 + 3035940582850560*x^32 - 2509… 2026-08-09flattening
37 137438953472*x^37 - 45767171506176*x^35 + 6807866761543680*x^33 - 599… 2026-08-09flattening
38 274877906944*x^38 - 96619584290816*x^36 + 15217584525803520*x^34 - 14… 2026-08-09flattening
39 549755813888*x^39 - 203684529045504*x^37 + 33913474086076416*x^35 - 3… 2026-08-09flattening
40 1099511627776*x^40 - 428809534832640*x^38 + 75363275746836480*x^36 - … 2026-08-09flattening
41 2199023255552*x^41 - 901599534776320*x^39 + 167021313817313280*x^37 -… 2026-08-09flattening
42 4398046511104*x^42 - 1893359023030272*x^40 + 369205009490903040*x^38 … 2026-08-09flattening
43 8796093022208*x^43 - 3971435999526912*x^41 + 814144379903016960*x^39 … 2026-08-09flattening
44 17592186044416*x^44 - 8321103999008768*x^42 + 1791117635786637312*x^4… 2026-08-09flattening
45 35184372088832*x^45 - 17416264183971840*x^43 + 3931721639531642880*x^… 2026-08-09flattening
46 70368744177664*x^46 - 36415825111941120*x^44 + 8612342638974074880*x^… 2026-08-09flattening
47 140737488355328*x^47 - 76068612456054784*x^45 + 18826981582873559040*… 2026-08-09flattening
48 281474976710656*x^48 - 158751886864809984*x^46 + 41077050726269583360… 2026-08-09flattening
49 562949953421312*x^49 - 331014572611731456*x^47 + 89456688248320425984… 2026-08-09flattening
50 1125899906842624*x^50 - 689613692941107200*x^48 + 1944710614093922304… 2026-08-09flattening