A117088 a(n) = (11*5^n - 7)/4.

1, 12, 67, 342, 1717, 8592, 42967, 214842, 1074217, 5371092, 26855467, 134277342, 671386717, 3356933592, 16784667967, 83923339842, 419616699217, 2098083496092, 10490417480467, 52452087402342, 262260437011717, 1311302185058592, 6556510925292967

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-5).

Formula

a(n) = 5*a(n-1) + 7 with a(0) = 1.

G.f.: (1+6*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) = 12. - Philippe Deléham, Feb 22 2014

a(n) = (11*5^n - 7) / 4. - Ralf Stephan, Feb 23 2014

Example

If n=1 then 5*(n-1) + 7 = 5*1 + 7 = 12, which is the second term.

Maple

A117088:=n->(11*5^n-7)/4: seq(A117088(n), n=0..25); # Wesley Ivan Hurt, Nov 12 2014

Mathematica

NestList[5# + 7 &, 1, 50] (* Stefan Steinerberger, Apr 21 2006 *)

Prog

(Magma) [(11*5^n-7)/4 : n in [0..25]]; // Wesley Ivan Hurt, Nov 12 2014

Crossrefs

Cf. A117617, A116952.

Sequence in context: A039925 A091074 A212687 * A199415 A200204 A289384

Adjacent sequences: A117085 A117086 A117087 * A117089 A117090 A117091

Keyword

nonn,easy

Author

Parthasarathy Nambi, Apr 17 2006

Extensions

Definition corrected and better name by Ralf Stephan, Feb 23 2014

Status

approved