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A136589 a(n) = Sum_{k=0..n} A136595(n,k)*(n+1)^k. 2
1, 2, 6, 44, 345, 4182, 53571, 905144, 16154550, 349976610, 8015743483, 211987872516, 5925745900685, 185188128471374, 6108604964499810, 220403394009702384, 8375181440031684305, 342816825221831030490 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

PROG

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

CROSSREFS

Cf. A136595; A048287, A136596, A136597; A136588.

Sequence in context: A055564 A077259 A319112 * A077048 A277479 A120594

Adjacent sequences:  A136586 A136587 A136588 * A136590 A136591 A136592

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 10 2008

STATUS

approved

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Last modified September 27 22:36 EDT 2020. Contains 337388 sequences. (Running on oeis4.)