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 A297322 a(n) = [x^n] Product_{k>=1} (1 + k*x^k)^n. 7
 1, 1, 5, 28, 137, 726, 3896, 21071, 115089, 633007, 3500740, 19448573, 108458924, 606787572, 3404112479, 19142919543, 107874784017, 609021410570, 3443952349385, 19503777943838, 110599636109572, 627924447630011, 3568885868192419, 20304321490356084 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Robert Israel, Table of n, a(n) for n = 0..1000 FORMULA a(n) = A297321(n,n). MAPLE f:= proc(n) local k; coeff(series(mul((1+k*x^k)^n, k=1..n), x, n+1), x, n); end proc: map(f, [\$0..30]); # Robert Israel, Dec 28 2017 MATHEMATICA Table[SeriesCoefficient[Product[(1 + k x^k)^n, {k, 1, n}], {x, 0, n}], {n, 0, 24}] CROSSREFS Main diagonal of A297321. Cf. A297324, A297326, A297329. Sequence in context: A258628 A054148 A272319 * A037591 A270922 A037682 Adjacent sequences:  A297319 A297320 A297321 * A297323 A297324 A297325 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 28 2017 STATUS approved

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Last modified July 20 14:21 EDT 2019. Contains 325185 sequences. (Running on oeis4.)