%I A092366
%S A092366 1,8,81,1120,19375,400896,9630411,262955008,8032730715,271175200000,
%T A092366 10017828457483,401738097475584,17371952344599385,805429080795852800,
%U A092366 39844314853048828125,2094272851244149112832,116526044312704751752451
%N A092366 Coefficient of X^n in expansion of (1+n*X+n*X^2)^n.
%C A092366 Also coefficient of X^n in expansion of (1-2*n*X+(n^2-4*n)*X^2)^(-1/2). 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 22 2004
%F A092366 Sum_{k=floor(n/2)..n} n^k*binomial(n, k)*binomial(k, n-k). - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Mar 22 2004
%p A092366 seq(n!*coeff(series(exp(n*x)*BesselI(0,2*sqrt(n)*x),x,n+1),x,n),n=1..17);
%o A092366 (PARI) q(n)=(1+n*X+n*X^2)^n; for(i=1,20,print1(","polcoeff(q(i),i)))
%Y A092366 Sequence in context: A068617 A007778 A065440 this_sequence A022519 A138439 
               A026845
%Y A092366 Adjacent sequences: A092363 A092364 A092365 this_sequence A092367 A092368 
               A092369
%K A092366 nonn
%O A092366 1,2
%A A092366 Jon Perry (perry(AT)globalnet.co.uk), Mar 19 2004