A176449 a(n) = 9*2^n - 2.

7, 16, 34, 70, 142, 286, 574, 1150, 2302, 4606, 9214, 18430, 36862, 73726, 147454, 294910, 589822, 1179646, 2359294, 4718590, 9437182, 18874366, 37748734, 75497470, 150994942, 301989886, 603979774, 1207959550, 2415919102

Offset: 0

Author

Vincenzo Librandi, Apr 18 2010

Keywords

• nonn
• easy

Examples

			For n = 1, a(1) = 2*(7+1) = 16;
for n = 2, a(2) = 2*(16+1) = 34;
for n = 3, a(3) = 2*(34+1) = 70.
		

Links

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

Programs

Magma

[9*2^n-2: n in [0..100]]

Maple

A176449:=n->9*2^n-2; seq(A176449(n), n=0..100); # Wesley Ivan Hurt, Nov 08 2013

Mathematica

Table[9*2^n-2, {n,0,100}] (* Wesley Ivan Hurt, Nov 08 2013 *)
LinearRecurrence[{3,-2},{7,16},40] (* Harvey P. Dale, Jan 12 2024 *)

PARI

apply( A176449(n)=9<M. F. Hasler, Dec 11 2018

Formula

a(n) = 2*(a(n-1)+1) with a(0) = 7.

a(n) = 3*a(n-1) -2*a(n-2). G.f.: (7-5*x) / ((2*x-1)*(x-1)). - R. J. Mathar, May 02 2010

a(n) = 2*A052996(n+1) for n > 0. - Bruno Berselli and Vincenzo Librandi, Aug 27 2010

a(n) = A033484(n+2) - A007283(n). - M. F. Hasler, Dec 11 2018

Extensions

Edited by M. F. Hasler, Dec 11 2018