A155624 11^n-3^n+1.

1, 9, 113, 1305, 14561, 160809, 1770833, 19484985, 214352321, 2357928009, 25937365553, 285311493465, 3138427845281, 34522710549609, 379749828800273, 4177248155066745, 45949729820525441, 505447028370153609

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (15,-47,33).

Formula

G.f.: 1/(1-11*x)-1/(1-3*x)+1/(1-x). E.g.f.: e^(11*x)-e^(3*x)+e^x.

a(n)=14*a(n-1)-33*a(n-2)+20 with a(0)=1, a(1)=9 - Vincenzo Librandi, Jul 21 2010

Mathematica

LinearRecurrence[{15, -47, 33}, {1, 9, 113}, 20] (* Harvey P. Dale, Nov 02 2021 *)

Prog

(PARI) a(n)=11^n-3^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155588, A155589, A155590, A155592, A155593, A155594, A155595, A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623.

Sequence in context: A348068 A241804 A156949 * A165224 A342296 A243676

Adjacent sequences: A155621 A155622 A155623 * A155625 A155626 A155627

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 29 2009

Status

approved