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A258583 Number of solid standard Young tableaux of shape [[{n}^n],[n]]. 2
1, 1, 16, 5471, 75965484, 70692556053053, 6614511157454872712100, 87353366195666890516586545068535, 217757982462900115559339884671224174403391534, 132100470099008733697710444705793312015509514686031193798241, 24431421930145927713526351934816506384811205836191828228900485331569907542066 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..10.

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

Wikipedia, Young tableau

FORMULA

a(n) = A214722(n,n).

MAPLE

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

      `if`({map(x-> x[], l)[]}={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..8);

CROSSREFS

Cf. A214722, A258586.

Sequence in context: A123280 A289904 A181028 * A159403 A221199 A017008

Adjacent sequences:  A258580 A258581 A258582 * A258584 A258585 A258586

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 06 2015

STATUS

approved

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)