Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #5 Mar 30 2012 18:36:39
%S 1,1,4,29,303,4108,68165,1334403,30056112,764920823,21694511367,
%T 678288426792,23173084581845,858785085529061,34311202499100416,
%U 1470080434980994825,67236889676684657943,3269565144147886318168
%N Self-convolution of this sequence is equal to its hyperbinomial transform and results in A089471.
%C See A088956 for the definition of the hyperbinomial transform.
%F A089471(n) = sum(k=1, n, a(k)*a(n-k)); A089471(n) = sum(k=0, n, (n-k+1)^(n-k-1)*binomial(n, k)*a(k)).
%e The self-convolution at n=4: 303*1+29*1+4*4+1*29+1*303 = 680 = A089471(4) and equals the hyperbinomial transform at n=4: 125*1+64*1+18*4+4*29+1*303 = 680 = A089471(4).
%Y Cf. A089471, A088956.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Nov 07 2003