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A141844 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,...). 0
1, 6, 27, 113, 458, 1839, 7365, 29470, 117891, 471577, 1886322, 7545303, 30181229, 120724935, 482899761, 1931599066, 7726396287 (list; graph; refs; listen; history; internal format)
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 = 4*a(2) + A042968(3) = 4*27 + 5.

CROSSREFS

Cf. A042968.

Sequence in context: A005284 A198694 A014825 * A176476 A079742 A171475

Adjacent sequences:  A141841 A141842 A141843 * A141845 A141846 A141847

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 11 2008

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.