id:A086662 - OEIS Search Results

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Stirling transform of Catalan numbers: Sum_{k=0..n} |Stirling1(n,k)|*binomial(2*k,k)/(k+1).

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1, 1, 3, 13, 72, 481, 3745, 33209, 329868, 3624270, 43608474, 570008803, 8039735704, 121673027607, 1966231022067, 33786076421499, 615043147866660, 11822938288619344, 239298079351004608, 5086498410027323134 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`E.g.f.: hypergeom([1/2], [2], -4log(1-x)) = 1/(1-x)^2(BesselI(0, 2ln(1-x))+BesselI(1, 2ln(1-x))).`
	CROSSREFS	`Cf. A000108, A008275, A064856.` `Sequence in context: A137983 A059032 A047159 this_sequence A090754 A067764 A063512` `Adjacent sequences: A086659 A086660 A086661 this_sequence A086663 A086664 A086665`
	KEYWORD	`easy,nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 12 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research