A198275 17*2^n - 1.

16, 33, 67, 135, 271, 543, 1087, 2175, 4351, 8703, 17407, 34815, 69631, 139263, 278527, 557055, 1114111, 2228223, 4456447, 8912895, 17825791, 35651583, 71303167, 142606335, 285212671, 570425343, 1140850687, 2281701375, 4563402751, 9126805503, 18253611007

Offset

0,1

Links

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

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

Formula

a(n+1) = 2*a(n) + 1.

G.f.: ( 16-15*x ) / ( (2*x-1)*(x-1) ). - R. J. Mathar, Oct 25 2011

a(0)=16, a(1)=33, a(n)=3*a(n-1)-2*a(n-2). - Harvey P. Dale, Dec 03 2011

a(n) + a(n-1)^2 = (a(n-1)+1)^2. - Vincenzo Librandi, Jun 11 2014

Example

a(2) = 17*2^2-1 = 67.

Maple

A198275:=n->17*2^n-1; seq(A198275(n), n=0..30); # Wesley Ivan Hurt, Jun 11 2014

Mathematica

17*2^Range[0, 30]-1 (* or *) LinearRecurrence[{3, -2}, {16, 33}, 40] (* Harvey P. Dale, Dec 03 2011 *)

Prog

(BASIC) for j = 0 to 30 : print str$((17*2^j)-1)+", "; : next j
(Magma) [17*2^n-1: n in [0..30]]; // Vincenzo Librandi, Oct 28 2011

Crossrefs

Cf. A086224, A110287.

Sequence in context: A132758 A195146 A365802 * A041504 A275252 A041506

Adjacent sequences: A198272 A198273 A198274 * A198276 A198277 A198278

Keyword

nonn,easy

Author

Jeremy Gardiner, Oct 23 2011

Status

approved