id:A117402 - OEIS Search Results

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Row sums of triangle A117401: a(n) = Sum_{k=0..n} 2^((n-k)*k) for n>=0.

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1, 2, 4, 10, 34, 162, 1090, 10370, 139522, 2654722, 71435266, 2718435330, 146299424770, 11134711111682, 1198484887715842, 182431106853797890, 39271952800672710658, 11955805018770498519042, 5147453397489773531365378 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = Sum_{n>=0} x^n/(1-2^n*x).`
	EXAMPLE	`A(x) = 1/(1-x) + x/(1-2x) + x^2/(1-4x) + x^3/(1-8x) + ...`
	PROGRAM	`(PARI) a(n)=sum(k=0, n, 2^((n-k)*k))`
	CROSSREFS	`Cf. A117401 (triangle), A117403 (antidiagonal sums).` `Sequence in context: A089476 A006397 A003422 this_sequence A109455 A125859 A103854` `Adjacent sequences: A117399 A117400 A117401 this_sequence A117403 A117404 A117405`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Mar 12 2006`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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