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A285372 Sum of the entries in the tenth blocks of all set partitions of [n]. 2
10, 616, 21318, 547857, 11676343, 218761153, 3732864275, 59392240551, 895833879036, 12967143328027, 181820930739504, 2487908867278337, 33420903985242540, 442951837401015291, 5816787707500820380, 75959640100454216760, 989568067595589010921 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..400

Wikipedia, Partition of a set

FORMULA

a(n) = A285362(n,10).

MAPLE

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

      proc(n, m) option remember;

        `if`(n=0, [1, 0], add((p-> `if`(j=10, 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=10..30);

MATHEMATICA

a[h_] := a[h] = Module[{b}, b[n_, m_] := b[n, m] = If[n == 0, {1, 0}, Sum[Function[p, If[j == 10, 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, 10, 30}] (* Jean-Fran├žois Alcover, May 27 2018, from Maple *)

CROSSREFS

Column k=10 of A285362.

Sequence in context: A185277 A006441 A042751 * A308145 A159622 A115692

Adjacent sequences:  A285369 A285370 A285371 * A285373 A285374 A285375

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 17 2017

STATUS

approved

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Last modified June 22 17:18 EDT 2021. Contains 345388 sequences. (Running on oeis4.)