id:A025749 - OEIS Search Results

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4th order Patalan numbers (generalization of Catalan numbers).

+0
6

1, 1, 6, 56, 616, 7392, 93632, 1230592, 16612992, 228890112, 3204461568, 45445091328, 651379642368, 9419951751168, 137262154088448, 2013178259963904, 29694379334467584, 440175505428578304 (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.: (5-(1-16x)^(1/4))/4. a(n) = 4^(n-1)3A034176(n-1)/n!, n >= 2; 3A034176(n-1)=(4n-5)(!^4) := product(4j-5, j=2..n) - from wolfdieter.lang(AT)physik.uni-karlsruhe.de.`
	CROSSREFS	`Equals 2^n * A048779(n), n>0.` `Sequence in context: A092655 A099140 A048348 this_sequence A053336 A112699 A093197` `Adjacent sequences: A025746 A025747 A025748 this_sequence A025750 A025751 A025752`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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