id:A025753 - OEIS Search Results

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8th order Patalan numbers (generalization of Catalan numbers).

+0
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1, 1, 28, 1120, 51520, 2555392, 132880384, 7137574912, 392566620160, 21983730728960, 1248675905404928, 71742106565083136, 4161042180774821888, 243260927491451125760, 14317643160925409116160 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.`
	FORMULA	`G.f.: (9-(1-64x)^(1/9))/8.` `a(n) = 8^(n-1)7A034975(n-1)/n!, n >= 2; 7A034975(n-1)= (8n-9)!^8 := product(8j-9, j=2..n) - wolfdieter.lang(AT)physik.uni-karlsruhe.de.`
	CROSSREFS	`Adjacent sequences: A025750 A025751 A025752 this_sequence A025754 A025755 A025756` `Sequence in context: A097579 A091549 A034904 this_sequence A132503 A092705 A061321`
	KEYWORD	`nonn,easy`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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