A193436 - OEIS

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A193436

exp( Sum_{n>=1} x^n/n^3 ) = Sum_{n>=0} a(n)*x^n/n!^3.

1, 1, 5, 71, 2276, 144724, 16688884, 3249507820, 1005334796864, 468967172341824, 315409074574480704, 294510517409159769024, 369877735410388416241920, 608401340784471133062837504, 1281569707473914769353921666304, 3391681347749396029674738480747264 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`Sum_{n>=0} a(n)/n!^3 = exp(zeta(3)) = 3.326953110002499790...`
	LINKS	`Table of n, a(n) for n=0..15.`
	EXAMPLE	`A(x) = 1 + x + 5x^2/2!^3 + 71x^3/3!^3 + 2276*x^4/4!^3 +...` `where` `log(A(x)) = x + x^2/8 + x^3/27 + x^4/64 + x^5/125 + x^6/216 +...`
	PROG	`(PARI) {a(n)=n!^3polcoeff(exp(sum(m=1, n, x^m/m^3)+xO(x^n)), n)}`
	CROSSREFS	`Cf. A074707, A217145, A193435.` `Sequence in context: A064752 A033507 A092250 * A193501 A133990 A326881` `Adjacent sequences: A193433 A193434 A193435 * A193437 A193438 A193439`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Jul 25 2011`
	STATUS	`approved`

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Last modified December 11 01:07 EST 2019. Contains 329910 sequences. (Running on oeis4.)