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 A267007 Expansion of Product_{k>=1} (1 + (k-1)*x^k). 5
 1, 0, 1, 2, 3, 6, 8, 16, 20, 42, 51, 92, 132, 204, 299, 476, 644, 978, 1488, 2024, 3048, 4318, 6248, 8596, 12555, 17378, 24740, 34310, 47940, 65842, 93221, 125238, 173848, 239348, 324724, 445882, 602140, 816424, 1101096, 1495382, 1991892, 2684252, 3598248 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..10000 MAPLE b:= proc(n, i) option remember; `if`(i*(i+1)/2 b(n\$2): seq(a(n), n=0..42);  # Alois P. Heinz, Aug 15 2019 MATHEMATICA nmax = 50; CoefficientList[Series[Product[1+(k-1)*x^k, {k, 1, nmax}], {x, 0, nmax}], x] nmax = 50; poly = ConstantArray[0, nmax+1]; poly[[1]] = 1; poly[[2]] = 0; Do[Do[poly[[j+1]] += (k-1)*poly[[j-k+1]], {j, nmax, k, -1}]; , {k, 2, nmax}]; poly CROSSREFS Cf. A022629, A162506, A267004, A267008. Sequence in context: A268645 A047001 A174021 * A091070 A133586 A141348 Adjacent sequences:  A267004 A267005 A267006 * A267008 A267009 A267010 KEYWORD nonn AUTHOR Vaclav Kotesovec, Jan 08 2016 STATUS approved

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Last modified August 5 18:00 EDT 2021. Contains 346488 sequences. (Running on oeis4.)