A045894 - OEIS

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A045894

4-fold convolution of A001700(n), n >= 0.

1, 12, 94, 608, 3525, 19044, 97954, 486000, 2345930, 11081880, 51447036, 235454848, 1064832173, 4767347796, 21160397050, 93223960784, 408037319262, 1775744775592, 7688699122724, 33140226601920, 142262721338146 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n) = (n+11)4^(n+2) - (n+5)binomial(2(n+4), n+4)/2; G.f. c(x)^4/(1-4x)^2, where c(x) = g.f. for Catalan numbers A000108; recursion: a(n)= (2(2n+10)/(n+4))a(n-1) + (4/(n+4))A045720(n), a(0)=1.`
	CROSSREFS	`Cf. A001700, A000108, A045720.` `Sequence in context: A173348 A073913 A057410 * A045829 A009647 A038836` `Adjacent sequences: A045891 A045892 A045893 * A045895 A045896 A045897`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified February 16 11:51 EST 2012. Contains 205908 sequences.