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A155624 11^n-3^n+1. 16
1, 9, 113, 1305, 14561, 160809, 1770833, 19484985, 214352321, 2357928009, 25937365553, 285311493465, 3138427845281, 34522710549609, 379749828800273, 4177248155066745, 45949729820525441, 505447028370153609 (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 (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

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: A180788 A241804 A156949 * A165224 A243676 A012116

Adjacent sequences:  A155621 A155622 A155623 * A155625 A155626 A155627

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 29 2009

STATUS

approved

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