A270760 Total sum of the sizes of all blocks with maximal element 6 in all set partitions of {1,2,...,n}.

463, 1429, 5204, 21485, 98367, 492112, 2661473, 15433189, 95330022, 623920659, 4307488855, 31251896082, 237507413011, 1885386460081, 15594381406204, 134098780567817, 1196511239506523, 11057997444651072, 105684135069638365, 1043003293054453121

Offset: 6

Author

Alois P. Heinz, Mar 22 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 6..577
• Wikipedia, Partition of a set

Crossrefs

Column k=6 of A270701.

A diagonal of A270702.

Programs

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 - 6]][[2]];
Array[a, 24, 6] (* Jean-François Alcover, May 26 2018, from Maple code for A270701 *)