id:A113282 - OEIS Search Results

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Logarithmic derivative of the g.f. of A113281.

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5

1, 5, 7, 17, 41, 101, 239, 577, 1393, 3365, 8119, 19601, 47321, 114245, 275807, 665857, 1607521, 3880901, 9369319, 22619537, 54608393, 131836325, 318281039, 768398401, 1855077841, 4478554085, 10812186007, 26102926097, 63018038201 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1+x^2)/(1-x^2)/(1-2x-x^2) + x(3+x^2)/(1-x^4). a(2n) = A113224(2n), a(4n+1) = 3 + A113224(4n+1), a(4n+3) = 1 + A113224(4n+3), where A113224 is the self-convolution of A113281.`
	PROGRAM	`(PARI) {a(n)=local(x=X+XO(X^n)); polcoeff((1+x^2)/(1-x^2)/(1-2x-x^2) + x*(3+x^2)/(1-x^4), n, X)}`
	CROSSREFS	`Cf. A113281, A113283, A113284.` `Sequence in context: A019340 A018538 A038968 this_sequence A106955 A030785 A019404` `Adjacent sequences: A113279 A113280 A113281 this_sequence A113283 A113284 A113285`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 22 2005`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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