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A244304 Number of standard Young tableaux with n cells such that the lengths of the first and the last row differ by 10. 2
11, 66, 923, 6761, 59631, 430135, 3286934, 22973870, 166443706, 1140859011, 8005160811, 54582972124, 377341672273, 2571480311931, 17687177703846, 120864485062762, 832211596826779, 5716894541334650, 39541329587796481, 273544962791156596, 1904469339140619197 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,1

COMMENTS

Also the number of ballot sequences of length n such that the multiplicities of the largest and the smallest value differ by 10.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 12..80

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) local j; `if`(n=0 or i<1, 0, `if`(l<>[] and

      l[1]-i=10, `if`(irem(n, i, 'j')=0, h([l[], i$j]), 0),

      add(g(n-i*j, i-1, [l[], i$j]), j=0..n/i)))

    end:

a:= n-> g(n$2, []):

seq(a(n), n=12..35);

CROSSREFS

Column k=10 of A238707.

Sequence in context: A316110 A030115 A091929 * A058883 A141969 A142645

Adjacent sequences:  A244301 A244302 A244303 * A244305 A244306 A244307

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 25 2014

STATUS

approved

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Last modified August 7 09:16 EDT 2020. Contains 336274 sequences. (Running on oeis4.)