A080962 5th binomial transform of the periodic sequence (1,6,1,1,6,1...).

1, 11, 86, 596, 3896, 24656, 153056, 938816, 5714816, 34616576, 209010176, 1259303936, 7576795136, 45544656896, 273603485696, 1642963091456, 9863147257856, 59200358383616, 355288049647616, 2132071895269376

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (10,-24).

Formula

a(n) = 6*a(n-1)+5*4^(n-1).

a(n) = (7/2)*6^n-(5/2)*4^n.

G.f.: (1+x)/((1-4*x)*(1-6*x)). - Vincenzo Librandi, Aug 06 2013

Mathematica

CoefficientList[Series[(1 + x) / ((1 - 4 x) (1 - 6 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{10, -24}, {1, 11}, 20] (* Harvey P. Dale, Sep 06 2016 *)

Prog

(Magma) [(7/2)*6^n-(5/2)*4^n: n in [0..25]]; // Vincenzo Librandi, Aug 06 2013

Crossrefs

Cf. A080960, A080961, A081033.

Sequence in context: A012794 A302954 A014917 * A243879 A298253 A277465

Adjacent sequences: A080959 A080960 A080961 * A080963 A080964 A080965

Keyword

nonn,easy

Author

Paul Barry, Mar 03 2003

Status

approved