id:A025750 - OEIS Search Results

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5th order Patalan numbers (generalization of Catalan numbers).

+0
4

1, 1, 10, 150, 2625, 49875, 997500, 20662500, 439078125, 9513359375, 209293906250, 4661546093750, 104884787109375, 2380077861328125, 54401779687500000, 1251240932812500000, 28934946571289062500 (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.: (6-(1-25x)^(1/5))/5.` `a(n) = 5^(n-1)4A034301(n-1)/n!, n >= 2; 4A034301(n-1)= (5n-6)(!^5) := product(5j-6, j=2..n) - from wolfdieter.lang(AT)physik.uni-karlsruhe.de`
	CROSSREFS	`Cf. A034687, A049393.` `Sequence in context: A098270 A157867 A116156 this_sequence A034325 A048907 A061654` `Adjacent sequences: A025747 A025748 A025749 this_sequence A025751 A025752 A025753`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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