A035330 - OEIS

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A035330

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

1, 15, 140, 1045, 6835, 40963, 230720, 1240740, 6437890, 32468470, 160010280, 773624615, 3680728375, 17274086235, 80119845080, 367821324040, 1673528845710, 7554110698850, 33858536700040, 150802994850570 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Fifth column of triangular array A035324.`
	FORMULA	`a(n) = (n^2+27n+122)binomial(2(n+5), n+5)/24 - 5(n+8)2^(2n+5) = A035324(n+5, 5); G.f. c(x)^5/(1-4*x)^(5/2), where c(x) = g.f. for Catalan numbers A000108.`
	CROSSREFS	`Cf. A000108, A045894, A035324.` `Sequence in context: A123955 A027802 A133716 * A002803 A056281 A000481` `Adjacent sequences: A035327 A035328 A035329 * A035331 A035332 A035333`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified February 14 16:52 EST 2012. Contains 205635 sequences.