A025755 - OEIS

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A025755

10th order Patalan numbers (generalization of Catalan numbers).

1, 1, 45, 2850, 206625, 16116750, 1316201250, 110936962500, 9568313015625, 839885253593750, 74749787569843750, 6727480881285937500, 611079513383472656250, 55937278532794804687500 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.`
	FORMULA	`G.f.: (11-(1-100x)^(1/10))/10.` `a(n) = 10^(n-1)9A035278(n-1)/n!, n >= 2, 9A035278(n-1)= (10n-11)(!^10) := product(10j-11, j=2..n) - Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`
	CROSSREFS	`Sequence in context: A035097 A184286 A130017 * A113630 A143004 A004707` `Adjacent sequences: A025752 A025753 A025754 * A025756 A025757 A025758`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified February 14 08:58 EST 2012. Contains 205614 sequences.