A320819 Number of partitions of n with exactly six sorts of part 1 which are introduced in ascending order.

1, 21, 267, 2668, 23116, 182443, 1349703, 9529538, 64991613, 431754668, 2810794455, 18011999644, 113994583260, 714334592349, 4440885185275, 27431944561645, 168574045898166, 1031553703902986, 6290661582662655, 38253841380267660, 232085126723073278

Offset

6,2

Links

Alois P. Heinz, Table of n, a(n) for n = 6..1288

Formula

a(n) = A320737(n) - A320736(n).

Maple

b:= proc(n, i, k) option remember; `if`(n=0 or i<2, add(
      Stirling2(n, j), j=0..k), add(b(n-i*j, i-1, k), j=0..n/i))
    end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(6):
seq(a(n), n=6..35);

Crossrefs

Column k=6 of A292746.

Cf. A320736, A320737.

Sequence in context: A327507 A133105 A215766 * A360499 A228215 A032535

Adjacent sequences: A320816 A320817 A320818 * A320820 A320821 A320822

Keyword

nonn

Author

Alois P. Heinz, Oct 21 2018

Status

approved