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1, 15, 145, 1455, 15265, 164175, 1787185, 19565295, 214749505, 2359900815, 25947190225, 285360498735, 3138672517345, 34523932847055, 379755937098865, 4177278686993775, 45949882451462785, 505447791438746895
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refs;
listen;
history;
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..17.
Index entries for linear recurrences with constant coefficients, signature (17,-71,55).
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FORMULA
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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
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MAPLE
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A155638:=n->11^n + 5^n - 1; seq(A155638(n), n=0..30); # Wesley Ivan Hurt, Jan 28 2014
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MATHEMATICA
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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 *)
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PROG
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(PARI) a(n)=11^n+5^n-1 \\ Charles R Greathouse IV, Sep 24 2015
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CROSSREFS
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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
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KEYWORD
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nonn,easy
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AUTHOR
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Mohammad K. Azarian, Jan 30 2009
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STATUS
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approved
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