A155588 a(n) = 5^n + 2^n - 1^n.

1, 6, 28, 132, 640, 3156, 15688, 78252, 390880, 1953636, 9766648, 48830172, 244144720, 1220711316, 6103532008, 30517610892, 152587956160, 762939584196, 3814697527768, 19073486852412, 95367432689200, 476837160300276

Offset

0,2

Links

Michael De Vlieger, Table of n, a(n) for n = 0..1430

Index entries for linear recurrences with constant coefficients, signature (8,-17,10).

Formula

G.f.: 1/(1-5*x)+1/(1-2*x)-1/(1-x).

E.g.f.: e^(5*x)+e^(2*x)-e^x.

a(n) = 7*a(n-1)-10*a(n-2)-4 with a(0)=1, a(1)=6. - Vincenzo Librandi, Jul 21 2010

a(n) = A074600(n)-1. - R. J. Mathar, Mar 10 2022

Mathematica

CoefficientList[Series[1/(1 - 5 x) + 1/(1 - 2 x) - 1/(1 - x), {x, 0, 21}], x] (* Michael De Vlieger, Mar 02 2022 *)

Prog

(PARI) a(n)=5^n+2^n-1 \\ Charles R Greathouse IV, Sep 24 2015

Crossrefs

Cf. A074501, A074600, A005057, A005056, A099393.

Sequence in context: A338584 A084778 A287807 * A368574 A208439 A108051

Adjacent sequences: A155585 A155586 A155587 * A155589 A155590 A155591

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 24 2009

Status

approved