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A080962 5th binomial transform of the periodic sequence (1,6,1,1,6,1...). 4
1, 11, 86, 596, 3896, 24656, 153056, 938816, 5714816, 34616576, 209010176, 1259303936, 7576795136, 45544656896, 273603485696, 1642963091456, 9863147257856, 59200358383616, 355288049647616, 2132071895269376 (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 (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

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)