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 A074554 a(n) = 3^n + 5^n + 9^n. 1
 3, 17, 115, 881, 7267, 62417, 547795, 4863281, 43443907, 389393297, 3496609075, 31430064881, 282674208547, 2543088125777, 22882900753555, 205921664021681, 1853172819789187, 16677944768259857, 150098450381685235 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (17,-87,135). FORMULA From Mohammad K. Azarian, Dec 30 2008: (Start) G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-9*x). E.g.f.: exp(3*x) + exp(5*x) + exp(9*x). (End) a(n) = 17*a(n-1) - 87*a(n-2) + 135*a(n-3). MATHEMATICA Table[3^n + 5^n + 9^n, {n, 0, 20}] LinearRecurrence[{17, -87, 135}, {3, 17, 115}, 30] (* Harvey P. Dale, Nov 27 2012 *) PROG (MAGMA) [3^n + 5^n + 9^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011 CROSSREFS Cf. A001550, A001576, A034513, A001579, A074501 - A074580. Sequence in context: A174404 A271611 A112111 * A074544 A165976 A121572 Adjacent sequences:  A074551 A074552 A074553 * A074555 A074556 A074557 KEYWORD easy,nonn AUTHOR Robert G. Wilson v, Aug 23 2002 STATUS approved

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Last modified May 11 13:41 EDT 2021. Contains 343791 sequences. (Running on oeis4.)