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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 January 23 13:57 EST 2020. Contains 331171 sequences. (Running on oeis4.)