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 A320739 Number of partitions of n with eight sorts of part 1 which are introduced in ascending order. 4
 1, 1, 3, 7, 20, 63, 233, 966, 4454, 22403, 121570, 705150, 4337883, 28091897, 190105229, 1334705996, 9656244012, 71551215515, 540187472767, 4137336876098, 32036946594336, 250131019258467, 1965050543015106, 15509209887539395, 122829846706462146 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1112 MAPLE b:= proc(n, i) option remember; `if`(n=0 or i<2, add( Stirling2(n, j), j=0..8), add(b(n-i*j, i-1), j=0..n/i)) end: a:= n-> b(n\$2): seq(a(n), n=0..40); MATHEMATICA b[n_, i_] := b[n, i] = If[n == 0 || i < 2, Sum[StirlingS2[n, j], {j, 0, 8}], Sum[b[n - i j, i - 1], {j, 0, n/i}]]; a[n_] := b[n, n]; a /@ Range[0, 40] (* Jean-François Alcover, Dec 07 2020, after Alois P. Heinz *) CROSSREFS Column k=8 of A292745. Sequence in context: A320736 A320737 A320738 * A320740 A320741 A292503 Adjacent sequences: A320736 A320737 A320738 * A320740 A320741 A320742 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 20 2018 STATUS approved

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Last modified March 31 04:34 EDT 2023. Contains 361627 sequences. (Running on oeis4.)