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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

Alois P. Heinz, Table of n, a(n) for n = 9..575

Wikipedia, Partition of a set

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-Fran├žois Alcover, May 27 2018, translated from Maple *)

CROSSREFS

Column p=9 of A270236.

Sequence in context: A162456 A010999 A182019 * A047911 A009069 A285237

Adjacent sequences:  A270498 A270499 A270500 * A270502 A270503 A270504

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 18 2016

STATUS

approved

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Last modified April 7 10:56 EDT 2020. Contains 333301 sequences. (Running on oeis4.)