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A214953 Number of solid standard Young tableaux whose shape is a 3-dimensional cube of side length n. 0
1, 1, 48, 6405442434150, 213896868423550025518356115338261531036549426 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..4.

S. B. Ekhad, D. Zeilberger, Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux, arXiv:1202.6229v1 [math.CO], 2012

Wikipedia, Young tableau

MAPLE

b:= proc(l) option remember; local m; m:= nops(l);

      `if`({map(x-> x[], l)[]}minus{0}={}, 1, add(add(`if`(l[i][j]>

      `if`(i=m or nops(l[i+1])<j, 0, l[i+1][j]) and l[i][j]>

      `if`(nops(l[i])=j, 0, l[i][j+1]), b(subsop(i=subsop(

       j=l[i][j]-1, l[i]), l)), 0), j=1..nops(l[i])), i=1..m))

    end:

a:= n-> b([[n$n]$n]):

seq(a(n), n=0..4);

CROSSREFS

Sequence in context: A292517 A272096 A115480 * A005071 A174696 A203506

Adjacent sequences:  A214950 A214951 A214952 * A214954 A214955 A214956

KEYWORD

nonn,more

AUTHOR

Alois P. Heinz, Jul 30 2012

STATUS

approved

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Last modified April 24 10:24 EDT 2019. Contains 322422 sequences. (Running on oeis4.)