id:A089945 - OEIS Search Results

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Main diagonal of array A089944, in which the n-th row is the n-th binomial transform of the natural numbers.

+0
3

1, 3, 15, 112, 1125, 14256, 218491, 3932160, 81310473, 1900000000, 49516901511, 1424099377152, 44804009850925, 1530735634132992, 56439656982421875, 2233785415175766016, 94459960699823921169, 4250383588380798812160 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=(2n+1)(n+1)^(n-1). E.g.f.: (-LambertW(x)/x)*(1-LambertW(x))/(1+LambertW(x)).`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, (2n+1)(n+1)^(n-1))`
	CROSSREFS	`Cf. A089944, A089946.` `Sequence in context: A112936 A001063 A130168 this_sequence A135083 A058104 A056053` `Adjacent sequences: A089942 A089943 A089944 this_sequence A089946 A089947 A089948`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 23 2003`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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