id:A141844 - OEIS Search Results

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a(n) = 4*a(n-1) + A042968(n), a(0) = 1; where A042968 = "not divisible by 4": (1, 2, 3, 5, 6, 7, 9, 10, 11,...).

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1, 6, 27, 113, 458, 1839, 7365, 29470, 117891, 471577, 1886322, 7545303, 30181229, 120724935, 482899761, 1931599066, 7726396287 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1+x)(1+x^2)/((1-x)^2(1+x+x^2)(1-4x)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 06 2008]`
	EXAMPLE	`a(3) = 113 = 4a(2) + A042968(3) = 427 + 5.`
	CROSSREFS	`Cf. A042968.` `Sequence in context: A108958 A005284 A014825 this_sequence A079742 A130019 A049651` `Adjacent sequences: A141841 A141842 A141843 this_sequence A141845 A141846 A141847`
	KEYWORD	`nonn`
	AUTHOR	`Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 11 2008`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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