A320823 Number of partitions of n with exactly ten sorts of part 1 which are introduced in ascending order.

1, 55, 1706, 39381, 754514, 12703792, 194550591, 2771831836, 37320172644, 480276118242, 5957871478583, 71707499618340, 841619253647975, 9671546736478641, 109173363429796284, 1213748225365119080, 13319241381691393856, 144529657166520849546

Offset

10,2

Links

Alois P. Heinz, Table of n, a(n) for n = 10..1006

Formula

a(n) = A320741(n) - A320740(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))(10):
seq(a(n), n=10..35);

Crossrefs

Column k=10 of A292746.

Cf. A320740, A320741.

Sequence in context: A049435 A327511 A215770 * A166833 A004352 A163722

Adjacent sequences: A320820 A320821 A320822 * A320824 A320825 A320826

Keyword

nonn

Author

Alois P. Heinz, Oct 21 2018

Status

approved