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 A155639 a(n) = 6^n-5^n+1^n. 21
 1, 2, 12, 92, 672, 4652, 31032, 201812, 1288992, 8124572, 50700552, 313968932, 1932641712, 11839990892, 72260648472, 439667406452, 2668522016832, 16163719991612, 97745259402792, 590286253682372, 3560791008422352 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. Index entries for linear recurrences with constant coefficients, signature (12,-41,30). FORMULA G.f.: 1/(1-6*x)-1/(1-5*x)+1/(1-x). E.g.f.: e^(6*x)-e^(5*x)+e^x. a(n) = 11*a(n-1)-30*a(n-2)+20 with a(0)=1, a(1)=2. - Vincenzo Librandi, Jul 21 2010 MAPLE A155639:=n->6^n - 5^n + 1: seq(A155639(n), n=0..20); # Wesley Ivan Hurt, Nov 20 2014 MATHEMATICA Table[6^n - 5^n + 1, {n, 0, 20}] (* Wesley Ivan Hurt, Nov 20 2014 *) LinearRecurrence[{12, -41, 30}, {1, 2, 12}, 30] (* Harvey P. Dale, Aug 23 2016 *) PROG (Magma) [6^n - 5^n + 1 : n in [0..20]]; // Wesley Ivan Hurt, Nov 20 2014 (PARI) a(n)=6^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, A155638. Sequence in context: A250130 A225573 A354233 * A333473 A103882 A304979 Adjacent sequences: A155636 A155637 A155638 * A155640 A155641 A155642 KEYWORD nonn,easy AUTHOR Mohammad K. Azarian, Jan 30 2009 STATUS approved

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Last modified December 10 04:38 EST 2023. Contains 367699 sequences. (Running on oeis4.)