A130129 a(n) = (3*n+1)*2^n.

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

Offset: 0

Author

Paul Curtz, Aug 01 2007

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (4,-4).

Crossrefs

Cf. A016921 (inverse binomial transform).

Cf. A062111, A066373.

Programs

Magma

[(3*n+1)*2^n: n in [0..30]]; // Vincenzo Librandi, May 04 2011

Mathematica

Table[2^n*(3*n+1), {n,0,30}] (* G. C. Greubel, Sep 28 2022 *)

SageMath

[2^n*(3*n+1) for n in range(30)] # G. C. Greubel, Sep 28 2022

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