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A285370 Sum of the entries in the eighth blocks of all set partitions of [n]. 2
8, 333, 7995, 145814, 2250020, 31075944, 397434249, 4813480830, 56089581910, 636257739216, 7090058863984, 78176548855068, 858005254659222, 9419825826737075, 103885234357070729, 1154951013922367450, 12982852258320087936, 147928345019800310188 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..400

Wikipedia, Partition of a set

FORMULA

a(n) = A285362(n,8).

MAPLE

a:= proc(h) option remember; local b; b:=

      proc(n, m) option remember;

        `if`(n=0, [1, 0], add((p-> `if`(j=8, p+ [0,

        (h-n+1)*p[1]], p))(b(n-1, max(m, j))), j=1..m+1))

      end: b(h, 0)[2]

    end:

seq(a(n), n=8..30);

MATHEMATICA

a[h_] := a[h] = Module[{b}, b[n_, m_] := b[n, m] = If[n == 0, {1, 0}, Sum[Function[p, If[j == 8, p + {0, (h - n + 1)*p[[1]]}, p]][b[n - 1, Max[m, j]]], {j, 1, m + 1}]]; b[h, 0][[2]]];

Table[a[n], {n, 8, 30}] {* Jean-Fran├žois Alcover, May 27 2018, from Maple *)

CROSSREFS

Column k=8 of A285362.

Sequence in context: A221407 A204069 A226551 * A247730 A258745 A071306

Adjacent sequences:  A285367 A285368 A285369 * A285371 A285372 A285373

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 17 2017

STATUS

approved

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Last modified June 24 17:11 EDT 2021. Contains 345417 sequences. (Running on oeis4.)