id:A034385 - OEIS Search Results

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Expansion of (1-16*x)^(-1/4), related to quartic factorial numbers.

+0
4

1, 4, 40, 480, 6240, 84864, 1188096, 16972800, 246105600, 3609548800, 53421322240, 796463349760, 11946950246400, 180123249868800, 2727580640870400, 41459225741230080, 632253192553758720 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = (4^n/n!)A007696(n), n >= 1, a(0) := 1, A007696(n)=(4n-3)(!^4) := product(4j-3, j=1..n); G.f.: (1-16x)^(-1/4).`
	CROSSREFS	`Cf. A004987, A007696.` `Sequence in context: A093141 A114468 A002705 this_sequence A074637 A075878 A092812` `Adjacent sequences: A034382 A034383 A034384 this_sequence A034386 A034387 A034388`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.

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