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A130129
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a(n) = (3*n+1)*2^n.
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4
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1, 8, 28, 80, 208, 512, 1216, 2816, 6400, 14336, 31744, 69632, 151552, 327680, 704512, 1507328, 3211264, 6815744, 14417920, 30408704, 63963136, 134217728, 281018368, 587202560, 1224736768, 2550136832, 5301600256, 11005853696, 22817013760
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (4,-4).
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FORMULA
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a(n+1) - a(n) = A066373(n+3). - J. M. Bergot, Apr 21 2013
G.f.: ( 1+4*x ) / (1-2*x)^2. - R. J. Mathar, Apr 25 2013
E.g.f.: (1+6*x)*exp(2*x). - G. C. Greubel, Sep 28 2022
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MATHEMATICA
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Table[2^n*(3*n+1), {n, 0, 30}] (* G. C. Greubel, Sep 28 2022 *)
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PROG
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(Magma) [(3*n+1)*2^n: n in [0..30]]; // Vincenzo Librandi, May 04 2011
(SageMath) [2^n*(3*n+1) for n in range(30)] # G. C. Greubel, Sep 28 2022
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CROSSREFS
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Cf. A016921 (inverse binomial transform).
Cf. A062111, A066373.
Sequence in context: A293289 A305638 A331757 * A317032 A229713 A212516
Adjacent sequences: A130126 A130127 A130128 * A130130 A130131 A130132
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz, Aug 01 2007
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STATUS
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approved
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