%I A089461
%S A089461 1,3,13,81,689,7553,101961,1639529,30640257,653150529,15649353929,
%T A089461 416495026841,12193949444193,389572905351425,13488730646528265,
%U A089461 503205102139969977,20123584054543823105,858863606297804378753
%N A089461 Hyperbinomial transform of A088957. Also the row sums of triangle A089460, 
               which lists the coefficients for the second hyperbinomial transform.
%F A089461 a(n) = sum(k=0..n, 2*(n-k+2)^(n-k-1)*C(n, k)). E.g.f.: exp(x)*(-LambertW(-x)/
               x)^2.
%Y A089461 Cf. A088957, A089460(triangle).
%Y A089461 Sequence in context: A020014 A135921 A005923 this_sequence A000684 A057993 
               A000904
%Y A089461 Adjacent sequences: A089458 A089459 A089460 this_sequence A089462 A089463 
               A089464
%K A089461 nonn
%O A089461 0,2
%A A089461 Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2003