The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A218437 Sum of the 10th powers of the numbers of standard Young tableaux over all partitions of n. 2
 1, 1, 2, 1026, 119124, 82094580, 1126524259080, 5563004909321160, 43453047082604239080, 620787527477497337506920, 82539616591562766578923554000, 8875098123308028836585309148354000, 891186933432311275150434427455009708000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..60 Wikipedia, Young tableau MAPLE h:= proc(l) local n; n:=nops(l); add(i, i=l)! /mul(mul(1+l[i]-j +add(`if`(l[k]>=j, 1, 0), k=i+1..n), j=1..l[i]), i=1..n) end: g:= proc(n, i, l) `if`(n=0, h(l)^10, `if`(i<1, 0, g(n, i-1, l)+ `if`(i>n, 0, g(n-i, i, [l[], i])))) end: a:= n-> `if`(n=0, 1, g(n, n, [])): seq(a(n), n=0..20); MATHEMATICA h[l_] := With[{n = Length[l]}, Total[l]!/Product[Product[1 + l[[i]] - j + Sum[If[l[[k]] >= j, 1, 0], {k, i + 1, n}], {j, 1, l[[i]]}], {i, 1, n}]]; g[n_, i_, l_] := g[n, i, l] = If[n == 0, h[l]^10, If[i < 1, 0, g[n, i - 1, l] + If[i > n, 0, g[n - i, i, Append[l, i]]]]]; a[n_] := If[n == 0, 1, g[n, n, {}]]; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, May 18 2017, translated from Maple *) CROSSREFS Column k=10 of A208447. Sequence in context: A294279 A196292 A182447 * A166852 A236951 A111203 Adjacent sequences: A218434 A218435 A218436 * A218438 A218439 A218440 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 28 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 28 01:34 EDT 2024. Contains 372900 sequences. (Running on oeis4.)