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A168590 G.f.: exp( Sum_{n>=1} A168591(n)*x^n/n ), where A168591(n) = sum of the n-th power of the trinomial coefficients in row n of triangle A027907. 4
1, 3, 14, 310, 71399, 153056789, 2826352872319, 445742192193898313, 602479884829000885595175, 7000510736697461064666950774905, 701725717683874683612335083605682943282 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

EXAMPLE

G.f.: A(x) = 1 + 3*x + 14*x^2 + 310*x^3 + 71399*x^4 +...

log(A(x)) = 3*x + 19*x^2/2 + 831*x^3/3 + 281907*x^4/4 +...+ A168591(n)*x^n/n +...

PROG

(PARI) {a(n)=if(n==0, 1, polcoeff(exp(sum(m=1, n, sum(k=0, 2*m, polcoeff((1+x+x^2)^m, k)^m)*x^m/m) +x*O(x^n)), n))}

CROSSREFS

Cf. A168591, A168592, A168593, A027907.

Sequence in context: A001320 A133028 A144985 * A297487 A297484 A289878

Adjacent sequences:  A168587 A168588 A168589 * A168591 A168592 A168593

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 01 2009

STATUS

approved

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Last modified October 22 06:02 EDT 2018. Contains 316432 sequences. (Running on oeis4.)