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 A319607 Sum of the n-th powers of the numbers of standard Young tableaux over all partitions of n. 2
 1, 1, 2, 10, 180, 16076, 19902600, 134324703472, 6229088692170120, 3043225095505808401540, 82539616591562766578923554000, 20307821456335470464284341150217960760, 48436056178178689690954566323758042309244664480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..41 Wikipedia, Young tableau FORMULA a(n) = A208447(n,n). MAPLE h:= l-> (n-> add(i, i=l)!/mul(mul(1+l[i]-j+add(`if`(j> l[k], 0, 1), k=i+1..n), j=1..l[i]), i=1..n))(nops(l)): g:= (n, i, k, l)-> `if`(n=0 or i=1, h([l[], 1\$n])^k, g(n, i-1, k, l)+g(n-i, min(i, n-i), k, [l[], i])): a:= n-> g(n\$3, []): seq(a(n), n=0..15); CROSSREFS Main diagonal of A208447. Sequence in context: A368573 A356887 A086675 * A057119 A226563 A037267 Adjacent sequences: A319604 A319605 A319606 * A319608 A319609 A319610 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 24 2018 STATUS approved

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Last modified August 14 12:27 EDT 2024. Contains 375164 sequences. (Running on oeis4.)