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A270759 Total sum of the sizes of all blocks with maximal element 5 in all set partitions of {1,2,...,n}. 3
112, 299, 979, 3702, 15717, 73561, 374718, 2057641, 12088759, 75528808, 499336559, 3478563389, 25443377280, 194791872127, 1556720156567, 12955521377878, 112041717014289, 1004979994978317, 9333443375249734, 89610138696275685, 888152337277216747 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..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 - 5]][[2]];

Array[a, 24, 5] (* Jean-Fran├žois Alcover, May 26 2018, from Maple code for A270701 *)

CROSSREFS

Column k=5 of A270701.

A diagonal of A270702.

Sequence in context: A297970 A296185 A211444 * A233892 A233885 A235319

Adjacent sequences:  A270756 A270757 A270758 * A270760 A270761 A270762

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 22 2016

STATUS

approved

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Last modified October 18 12:19 EDT 2021. Contains 348067 sequences. (Running on oeis4.)