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A diagonal of triangle A126265: a(n) = A126265(n+1,n).
2

%I #3 Mar 30 2012 18:37:02

%S 1,2,3,28,245,1626,15127,190968,2389977,30873790,448821131,7114224756,

%T 118167143965,2069398819502,38512533444855,755518153347376,

%U 15502607812688529,332330062063140054,7436822666078492083

%N A diagonal of triangle A126265: a(n) = A126265(n+1,n).

%C a(n) is divisible by (n+1). Rows of triangle A126265 lists coefficients of q in e.g.f. that satisfies: W(x,q) = exp( q*x*W(q*x,q) ).

%o (PARI) {a(n)=local(W=x);for(i=1,n+1,W=x*exp(subst(W,x,q*x+x*O(x^(n+1))))); if(n<0,0,Vec(Vec(W)[n+2]*(n+1)!+q*O(q^((n+1)*(n+2)/2)))[n+1])}

%Y Cf. A126265, A126267.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 22 2006