id:A135759 - OEIS Search Results

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Least Catalan number divisible by 2^n: a(n) = A000108(2^n-1).

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1, 2, 132, 2674440, 3814986502092304, 24139737743045626825711458546273312, 2861304849265668492891140780463352404986232263244287143198790516197234752 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = C(2^(n+2)-4, 2^(n+1)-2) / (2^(n+1)-1). a(n)/2^n = A038003(n).`
	PROGRAM	`(PARI) a(n)=binomial(2^(n+2)-4, 2^(n+1)-2)/(2^(n+1)-1)`
	CROSSREFS	`Cf. A038003 (odd Catalan numbers).` `Sequence in context: A131931 A020524 A099682 this_sequence A014315 A097641 A065963` `Adjacent sequences: A135756 A135757 A135758 this_sequence A135760 A135761 A135762`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 02 2007`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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