A198513 - OEIS

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A198513

E.g.f.: Sum_{n>=0} sinh(n*x)^n/n!.

1, 1, 4, 28, 320, 5556, 129600, 3756936, 132872192, 5679982288, 286769980416, 16732506817280, 1115928688967680, 84383735744758464, 7163164003950936064, 676619301019539271040, 70674282825174467215360, 8117559039240651749888256 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..17.`
	FORMULA	`E.g.f.: Sum_{n>=0} exp(-n^2x) (exp(2nx) - 1)^n / (2^n*n!).`
	EXAMPLE	`E.g.f.: A(x) = 1 + x + 4x^2/2! + 28x^3/3! + 320x^4/4! + 5556x^5/5! +...` `where` `A(x) = 1 + sinh(x) + sinh(2x)^2/2! + sinh(3x)^3/3! + sinh(4*x)^4/4! +...`
	PROG	`(PARI) {a(n)=local(A=sum(m=0, n, sinh(mx+xO(x^n))^m/m!)); n!*polcoeff(A, n)}`
	CROSSREFS	`Cf. A108459.` `Sequence in context: A007152 A177554 A192485 * A113371 A080636 A223887` `Adjacent sequences: A198510 A198511 A198512 * A198514 A198515 A198516`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Oct 26 2011`
	STATUS	`approved`

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Last modified May 22 16:38 EDT 2013. Contains 225553 sequences.