id:A133991 - OEIS Search Results

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a(n) = Sum_{k=0..n} binomial(n,k)*binomial(2^k+n-1,n).

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1, 3, 17, 193, 5427, 463023, 134675759, 139917028089, 527871326293913, 7281357469833220843, 368715613115281663650597 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = (1/n!)Sum_{k=0..n} (-1)^(n-k)Stirling1(n,k)(2^k+1)^n. G.f.: Sum_{n>=0} (-ln(1-(2^n+1)x))^n/n!.`
	CROSSREFS	`Sequence in context: A126443 A054976 A088678 this_sequence A009494 A075271 A072350` `Adjacent sequences: A133988 A133989 A133990 this_sequence A133992 A133993 A133994`
	KEYWORD	`easy,more,nonn`
	AUTHOR	`Paul Hanna and Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 21 2008`

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