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A126266 A diagonal of triangle A126265: a(n) = A126265(n+1,n). 2
1, 2, 3, 28, 245, 1626, 15127, 190968, 2389977, 30873790, 448821131, 7114224756, 118167143965, 2069398819502, 38512533444855, 755518153347376, 15502607812688529, 332330062063140054, 7436822666078492083 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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) ).

LINKS

Table of n, a(n) for n=0..18.

PROG

(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])}

CROSSREFS

Cf. A126265, A126267.

Sequence in context: A074233 A354611 A206592 * A219975 A319146 A206591

Adjacent sequences:  A126263 A126264 A126265 * A126267 A126268 A126269

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 22 2006

STATUS

approved

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Last modified August 7 19:55 EDT 2022. Contains 355994 sequences. (Running on oeis4.)