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A218139 Central coefficients of triangle A181143. 1
1, 5, 85, 2230, 73157, 2748240, 113026865, 4958785285, 228333859874, 10915734783342, 537683100870537, 27139187103865728, 1397889420026942941, 73245245888401473591, 3894386042722560634412, 209696591518450916905784, 11416666685883303837337577, 627639029564864592680196915 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The g.f. of triangle A181143 is exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^3*y^k] * x^n/n ).

LINKS

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

PROG

(PARI) {a(n)=polcoeff(polcoeff(exp(sum(m=1, 2*n, sum(j=0, m, binomial(m, j)^3*y^j)*x^m/m)+O(x^(2*n+1))), 2*n, x), n, y)}

for(n=0, 20, print1(a(n), ", "))

CROSSREFS

Cf. A181143.

Sequence in context: A139744 A195156 A188918 * A241330 A301435 A280575

Adjacent sequences:  A218136 A218137 A218138 * A218140 A218141 A218142

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 21 2012

STATUS

approved

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Last modified September 22 21:07 EDT 2020. Contains 337291 sequences. (Running on oeis4.)