History of Volumes of the Birkhoff polytopes

 Display properties:   number-header: volume+Numbers:+- params:+    n: '1'+    normalisation: relative+  number: '1'+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_1)$+- params:+    n: '1'+    normalisation: normalised+  number: '1'+  param-latex: $\operatorname{Vol}(B_1)$+- params:+    n: '1'+    normalisation: euclidean+  number: '1'+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_1)$+- params:+    n: '2'+    normalisation: relative+  number: '1'+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_2)$+- params:+    n: '2'+    normalisation: normalised+  number: '1'+  param-latex: $\operatorname{Vol}(B_2)$+- params:+    n: '2'+    normalisation: euclidean+  number: '2'+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_2)$+- params:+    n: '3'+    normalisation: relative+  number: 1/8+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_3)$+- params:+    n: '3'+    normalisation: normalised+  number: '3'+  param-latex: $\operatorname{Vol}(B_3)$+- params:+    n: '3'+    normalisation: euclidean+  number: 9/8+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_3)$+- params:+    n: '4'+    normalisation: relative+  number: 11/11340+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_4)$+- params:+    n: '4'+    normalisation: normalised+  number: '352'+  param-latex: $\operatorname{Vol}(B_4)$+- params:+    n: '4'+    normalisation: euclidean+  number: 176/2835+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_4)$+- params:+    n: '5'+    normalisation: relative+  number: 188723/836911595520+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_5)$+- params:+    n: '5'+    normalisation: normalised+  number: '4718075'+  param-latex: $\operatorname{Vol}(B_5)$+- params:+    n: '5'+    normalisation: euclidean+  number: 23590375/167382319104+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_5)$+- params:+    n: '6'+    normalisation: relative+  number: 9700106723/10258736801144832000000+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_6)$+- params:+    n: '6'+    normalisation: normalised+  number: '14666561365176'+  param-latex: $\operatorname{Vol}(B_6)$+- params:+    n: '6'+    normalisation: euclidean+  number: 9700106723/1319281996032000000+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_6)$+- params:+    n: '7'+    normalisation: relative+  number: 225762910421308831/4709491654300668677115504230400000000+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_7)$+- params:+    n: '7'+    normalisation: normalised+  number: '17832560768358341943028'+  param-latex: $\operatorname{Vol}(B_7)$+- params:+    n: '7'+    normalisation: euclidean+  number: 77436678274508929033/13730296368223523839986892800000000+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_7)$+- params:+    n: '8'+    normalisation: relative+  number: 5562533838576105333259507434329/264011225709317517739692779219312229551889249730560000000000+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_8)$+- params:+    n: '8'+    normalisation: normalised+  number: '12816077964079346687829905128694016'+  param-latex: $\operatorname{Vol}(B_8)$+- params:+    n: '8'+    normalisation: euclidean+  number: 5562533838576105333259507434329/125890362600954779500814809426933398033089280000000000+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_8)$+- params:+    n: '9'+    normalisation: relative+  number: 559498129702796022246895686372766052475496691/9269262340995263649896514671280698429605195132920241960610847715334553600000000000000+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_9)$+- params:+    n: '9'+    normalisation: normalised+  number: '7658969897501574748537755050756794492337074203099'+  param-latex: $\operatorname{Vol}(B_9)$+- params:+    n: '9'+    normalisation: euclidean+  number: 559498129702796022246895686372766052475496691/215330276631180889478121101750832506606140689157723348094523801600000000000000+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_9)$+- params:+    n: '10'+    normalisation: relative+  number: 727291284016786420977508457990121862548823260052557333386607889/828160860106766855125676318796872729344622463533089422677980721388055739956270293750883504892820848640000000000000000+  param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_10)$+- params:+    n: '10'+    normalisation: normalised+  number: '5091038988117504946842559205930853037841762820367901333706255223000'+  param-latex: $\operatorname{Vol}(B_10)$+- params:+    n: '10'+    normalisation: euclidean+  number: 727291284016786420977508457990121862548823260052557333386607889/828160860106766855125676318796872729344622463533089422677980721388055739956270293750883504892820848640000000+  param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_10)$