A107251 - OEIS

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A107251

Supercatalan numbers SF(2n)/(SF(n)*SF(n+1)) where SF is the superfactorial function A000178.

1, 1, 12, 7200, 508032000, 7742895390720000, 40797452088662556672000000, 108985983996792124183843071590400000000, 203800994173724454677862841368011757060096000000000000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	FORMULA	`a(n) =(n+2)!(n+3)!...(2n)!/(2!3!...n!) =A000178(2n)/(A000178(n)*A000178(n+1)) =A079478(n)/A000142(n+1).`
	EXAMPLE	`a(3) = 1!2!3!4!5!6!/(1!2!3!1!2!3!4!) = 24883200/(12288) = 7200.`
	MAPLE	`seq(mul(mul(k+j, j=1..n), k=2..n), n=0..8); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 01 2007`
	CROSSREFS	`Cf. A000108 for original Catalan numbers (2n)!/(n!(n+1)!).` `Sequence in context: A094268 A012607 A167072 A201493 A009173 A012531` `Adjacent sequences: A107248 A107249 A107250 * A107252 A107253 A107254`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 14 2005`

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.