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A270501 Sum of the sizes of the ninth blocks in all set partitions of {1,2,...,n}. 2
1, 47, 1267, 25820, 443249, 6782968, 95737722, 1274661371, 16262852622, 201150251360, 2433394489974, 28994047438464, 342194356303003, 4019284858043011, 47169786677194389, 555004306379162344, 6566292430043177959, 78313245092235242824, 943595956075419339524 (list; graph; refs; listen; history; text; internal format)
OFFSET
9,2
LINKS
MAPLE
b:= proc(n, m) option remember; `if`(n=0, [1, 0],
add((p->`if`(j<10, [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, 9):
seq(a(n), n=9..30);
MATHEMATICA
b[n_, m_] := b[n, m] = If[n == 0, {1, 0}, Sum[Function[p, If[j < 10, {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, 9];
Table[a[n], {n, 9, 30}] (* Jean-François Alcover, May 27 2018, translated from Maple *)
CROSSREFS
Column p=9 of A270236.
Sequence in context: A162456 A010999 A182019 * A047911 A009069 A348805
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 18 2016
STATUS
approved

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Last modified July 17 10:32 EDT 2024. Contains 374375 sequences. (Running on oeis4.)