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 A117617 a(n) = 5*a(n-1) + 3 with a(0) = 1. 3
 1, 8, 43, 218, 1093, 5468, 27343, 136718, 683593, 3417968, 17089843, 85449218, 427246093, 2136230468, 10681152343, 53405761718, 267028808593, 1335144042968, 6675720214843, 33378601074218, 166893005371093 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 FORMULA a(n) = -(3/4)+(7/4)*5^n, with n>=0. - Paolo P. Lava, Jul 07 2008 G.f.: (1+2*x)/((1-x)*(1-5*x)). - Philippe Deléham, Feb 22 2014 a(n) = 6*a(n-1) - 5*a(n-2), a(0) = 1, a(1) = 8. - Philippe Deléham, Feb 22 2014 EXAMPLE If n=1 then a(1) = 5*a(0) + 3 = 5*1 + 3 = 8 which is the second term. MATHEMATICA a[0] := 1; a[n_] := 5*a[n - 1] + 3; Table[a[n], {n, 0, 35}] (* Stefan Steinerberger, Apr 08 2006 *) CROSSREFS Cf. A116952. Sequence in context: A099253 A239033 A034361 * A111365 A199321 A144039 Adjacent sequences:  A117614 A117615 A117616 * A117618 A117619 A117620 KEYWORD nonn AUTHOR Parthasarathy Nambi, Apr 07 2006 EXTENSIONS More terms from Stefan Steinerberger, Apr 08 2006 STATUS approved

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Last modified September 28 11:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)