A135078 - OEIS

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A135078

E.g.f. A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=0..n-1} [exp(3^k*x) - 1].

1, 1, 4, 46, 1519, 145795, 41134753, 34354750885, 85260288495316, 630102185300832652, 13884412839047621240875, 912975607895806507921828357, 179255108346123463104458490745825 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..12.`
	EXAMPLE	`A(x) = 1 + x + 4x^2/2! + 46x^3/3! + 1519x^4/4! + 145795x^5/5! +...;` `A(x) = 1 + [exp(x)-1] + [exp(x)-1][exp(3x)-1]/2! + [exp(x)-1][exp(3x)-1][exp(9x)-1]/3! + [exp(x)-1][exp(3x)-1][exp(9x)-1][exp(27x)-1]/4! +...`
	PROG	`(PARI) {a(n)=n!polcoeff(1+sum(j=1, n, (1/j!)prod(k=0, j-1, 1exp(3^kx)-1)), n)}`
	CROSSREFS	`Cf. variants: A135077, A135079.` `Sequence in context: A210855 A002077 A113096 * A195243 A107766 A065777` `Adjacent sequences: A135075 A135076 A135077 * A135079 A135080 A135081`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Nov 24 2007`
	STATUS	`approved`

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Last modified June 19 09:12 EDT 2013. Contains 226401 sequences.