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

Author

Paul D. Hanna, Nov 04 2003

Keywords

• nonn

Crossrefs

Cf. A088956, A001858.

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.