A355613 Number of n-tuples (p_1, p_2, ..., p_n) of positive integers such that p_{i-1} <= p_i <= i^n.

1, 1, 4, 188, 249776, 16633660072, 83928799192724928, 45137673586198237802064960, 3471414431114929157135319840692727552, 49384542120790045258798151330072200190915129956928, 163311862970149172566335309591606099705654956202533457675827916800

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..30

Example

a(2) = 4: (1,1), (1,2), (1,3), (1,4).

Maple

b:= proc(n, k) option remember; `if`(n=0, 1, add(
      b(j-1, k)*(-1)^(n-j)*binomial(j^k, n-j+1), j=1..n))
    end:
a:= n-> b(n$2):
seq(a(n), n=0..10);

Crossrefs

Main diagonal of A355614.

Sequence in context: A266492 A285882 A208184 * A172809 A123116 A163839

Adjacent sequences: A355610 A355611 A355612 * A355614 A355615 A355616

Keyword

nonn

Author

Alois P. Heinz, Jul 09 2022

Status

approved