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A270762 Total sum of the sizes of all blocks with maximal element 8 in all set partitions of {1,2,...,n}. 3
10279, 39848, 174029, 838485, 4395802, 24825947, 149888167, 961547874, 6521484087, 46567171489, 348842020704, 2733150610201, 22336983535651, 189972322541416, 1677852685522313, 15360428047484945, 145515022547392842, 1424312554941600127, 14384441797357797779 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..577

Wikipedia, Partition of a set

MATHEMATICA

b[n_, m_, t_] := b[n, m, t] = If[n == 0, {1, 0}, Sum[If[t == 1 && j != m + 1, 0, Function[p, p + If[j == -t || t == 1 && j == m + 1, {0, p[[1]]}, 0]][b[n - 1, Max[m, j], If[t == 1 && j == m + 1, -j, If[t < 0, t, If[t > 0, t - 1, 0]]]]]], {j, 1, m + 1}]];

a[n_] := b[n, 0, Max[0, 1 + n - 8]][[2]];

Array[a, 24, 8] (* Jean-Fran├žois Alcover, May 26 2018, from Maple code for A270701 *)

CROSSREFS

Column k=8 of A270701.

A diagonal of A270702.

Sequence in context: A187311 A289855 A204691 * A200712 A257191 A257184

Adjacent sequences:  A270759 A270760 A270761 * A270763 A270764 A270765

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 22 2016

STATUS

approved

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Last modified September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)