id:A088131 - OEIS Search Results

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a(n) equals the square of the n-th partial sum added to twice the n-th partial sum of the squares, divided by a(n-1), for all n>=1, with a(0)=1, a(1)=1.

+0
2

1, 1, 8, 29, 115, 452, 1779, 7001, 27552, 108429, 426715, 1679308, 6608803, 26008497, 102354680, 402809917, 1585231171, 6238570004, 24551470099, 96620649225, 380244026896, 1496424637485, 5889077900715, 23176067575964 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=4a(n-1)-a(n-3) for n>3; G.f.: A(x)=(1-3x+4x^2-2x^3)/(1-4x+x^3).`
	PROGRAM	`(PARI) a(0)=1; a(1)=1; for(n=2, 30, a(n)=(sum(k=0, n-1, a(k))^2 + 2*sum(k=0, n-1, a(k)^2))/a(n-1))`
	CROSSREFS	`Cf. A088132.` `Sequence in context: A048478 A001360 A116952 this_sequence A072264 A110527 A105421` `Adjacent sequences: A088128 A088129 A088130 this_sequence A088132 A088133 A088134`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Sep 19 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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