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A294435
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a(n) = Sum_{m=0..n} (Sum_{k=0..m} binomial(n,k))^4.
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5
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1, 17, 338, 6754, 131428, 2495906, 46434532, 849488292, 15328171208, 273445276258, 4831735919236, 84688295720132, 1474133269832776, 25506505928857892, 439034457665156168, 7522356118216054216, 128364598453699389840, 2182553210810903666402, 36989251585608710893636
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OFFSET
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0,2
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LINKS
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FORMULA
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MAPLE
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A:=proc(n, k) local j; add(binomial(n, j), j=0..k); end;
S:=proc(n, p) local i; global A; add(A(n, i)^p, i=0..n); end;
[seq(S(n, 4), n=0..30)];
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MATHEMATICA
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Table[Sum[Sum[Binomial[n, k], {k, 0, m}]^4, {m, 0, n}], {n, 0, 15}] (* Vaclav Kotesovec, Jun 07 2019 *)
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PROG
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(PARI) a(n) = sum(m=0, n, sum(k=0, m, binomial(n, k))^4); \\ Michel Marcus, Nov 18 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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