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 A130129 a(n) = (3*n+1)*2^n. 4
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (4,-4). FORMULA 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 MATHEMATICA Table[2^n*(3*n+1), {n, 0, 30}] (* G. C. Greubel, Sep 28 2022 *) PROG (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 CROSSREFS 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 KEYWORD nonn,easy AUTHOR Paul Curtz, Aug 01 2007 STATUS approved

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Last modified January 30 12:56 EST 2023. Contains 359945 sequences. (Running on oeis4.)