A185346 a(n) = 2^n - 9.

-8, -7, -5, -1, 7, 23, 55, 119, 247, 503, 1015, 2039, 4087, 8183, 16375, 32759, 65527, 131063, 262135, 524279, 1048567, 2097143, 4194295, 8388599, 16777207, 33554423, 67108855, 134217719, 268435447, 536870903, 1073741815, 2147483639, 4294967287, 8589934583

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

G.f.: ( -8+17*x ) / ( (2*x-1)*(x-1) ). - R. J. Mathar, Dec 17 2012

E.g.f.: exp(2*x) - 9*exp(x). - G. C. Greubel, Jun 28 2017

From Elmo R. Oliveira, Nov 08 2023: (Start)

a(n) = 2*a(n-1) + 9 with a(0) = -8.

a(n) = 3*a(n-1) - 2*a(n-2) for n > 1. (End)

Maple

A185346:=n->2^n-9: seq(A185346(n), n=0..50); # Wesley Ivan Hurt, Jun 28 2017

Mathematica

Table[2^n - 9, {n, 0, 40}] (* T. D. Noe, Dec 04 2012 *)

Prog

(PARI) a(n)=2^n-9 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A000225, A036563, A172252 (essentially the same).

Sequence in context: A167222 A076417 A114137 * A378096 A200017 A316728

Adjacent sequences: A185343 A185344 A185345 * A185347 A185348 A185349

Keyword

sign,easy

Author

Andreas Rieber, Dec 04 2012

Status

approved