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A155638 11^n+5^n-1^n 22
1, 15, 145, 1455, 15265, 164175, 1787185, 19565295, 214749505, 2359900815, 25947190225, 285360498735, 3138672517345, 34523932847055, 379755937098865, 4177278686993775, 45949882451462785, 505447791438746895 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (17,-71,55).

FORMULA

G.f.: 1/(1-11*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(11*x)+e^(5*x)-e^x.

a(n)=16*a(n-1)-55*a(n-2)-40 with a(0)=1, a(1)=15 - Vincenzo Librandi, Jul 21 2010

MAPLE

A155638:=n->11^n + 5^n - 1; seq(A155638(n), n=0..30); # Wesley Ivan Hurt, Jan 28 2014

MATHEMATICA

Table[11^n + 5^n - 1, {n, 0, 30}] (* Wesley Ivan Hurt, Jan 28 2014 *)

LinearRecurrence[{17, -71, 55}, {1, 15, 145}, 30] (* Harvey P. Dale, Jul 03 2019 *)

PROG

(PARI) a(n)=11^n+5^n-1 \\ Charles R Greathouse IV, Sep 24 2015

CROSSREFS

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637.

Sequence in context: A163799 A206810 A025440 * A252982 A245755 A240419

Adjacent sequences:  A155635 A155636 A155637 * A155639 A155640 A155641

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 30 2009

STATUS

approved

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Last modified February 27 05:37 EST 2021. Contains 341649 sequences. (Running on oeis4.)