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A270502 Sum of the sizes of the tenth blocks in all set partitions of {1,2,...,n}. 2
1, 57, 1839, 44346, 891892, 15848311, 257647088, 3921554995, 56796169899, 792102157717, 10734723141617, 142380931674179, 1858965371935248, 24006134113802346, 307860388231938976, 3934302726222970593, 50254089923100713719, 643301179860716506788 (list; graph; refs; listen; history; text; internal format)
OFFSET
10,2
LINKS
MAPLE
b:= proc(n, m) option remember; `if`(n=0, [1, 0],
add((p->`if`(j<11, [p[1], p[2]+p[1]*x^j], p))(
b(n-1, max(m, j))), j=1..m+1))
end:
a:= n-> coeff(b(n, 0)[2], x, 10):
seq(a(n), n=10..30);
MATHEMATICA
b[n_, m_] := b[n, m] = If[n == 0, {1, 0}, Sum[Function[p, If[j < 11, {p[[1]], p[[2]] + p[[1]]*x^j}, p]][b[n - 1, Max[m, j]]], {j, 1, m + 1}]];
a[n_] := Coefficient[b[n, 0][[2]], x, 10];
Table[a[n], {n, 10, 30}] (* Jean-François Alcover, May 27 2018, translated from Maple *)
CROSSREFS
Column p=10 of A270236.
Sequence in context: A282932 A228259 A229407 * A285238 A011812 A226848
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 18 2016
STATUS
approved

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Last modified June 15 13:08 EDT 2024. Contains 373407 sequences. (Running on oeis4.)