A089459 Shifts 2 places left under the hyperbinomial transform.

1, 1, 1, 2, 6, 30, 221, 2201, 27769, 424757, 7639190, 157969167, 3692733181, 96293669499, 2771232779481, 87247362424120, 2982901522141490, 110057420712635526, 4358745145279372293, 184433423940319376323

Offset

0,4

Links

Table of n, a(n) for n=0..19.

Formula

a(n+2) = sum(k=0, n, (n-k+1)^(n-k-1)*binomial(n, k)*a(k)), for n>=0, with a(0)=1, a(1)=1.

Crossrefs

Cf. A088956, A001858.

Sequence in context: A108204 A088160 A112317 * A027882 A306782 A106209

Adjacent sequences: A089456 A089457 A089458 * A089460 A089461 A089462

Keyword

nonn

Author

Paul D. Hanna, Nov 04 2003

Status

approved