A051633 a(n) = 5*2^n - 2.

3, 8, 18, 38, 78, 158, 318, 638, 1278, 2558, 5118, 10238, 20478, 40958, 81918, 163838, 327678, 655358, 1310718, 2621438, 5242878, 10485758, 20971518, 41943038, 83886078, 167772158, 335544318, 671088638, 1342177278, 2684354558, 5368709118, 10737418238, 21474836478

Offset

0,1

Links

Stefano Spezia, Table of n, a(n) for n = 0..3300

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

Formula

a(n) = A118654(n, 5).

a(n) = A000079(n)*5 - 2 = A020714(n) - 2. - Omar E. Pol, Dec 23 2008

a(n) = 2*(a(n-1)+1) with a(0)=3. - Vincenzo Librandi, Aug 06 2010

a(n) = A123208(2*n+1) = A048487(n)+2 = A131051(n+2) = A153894(n)-1. - Philippe Deléham, Apr 15 2013

G.f.: ( 3-x ) / ( (2*x-1)*(x-1) ). - R. J. Mathar, Mar 23 2023

E.g.f.: exp(x)*(5*exp(x) - 2). - Stefano Spezia, Oct 03 2023

Example

a(5) = 5*2^4 - 2 = 80 - 2 = 78.

Mathematica

LinearRecurrence[{3, -2}, {3, 8}, 30] (* Ray Chandler, Jul 18 2020 *)

Crossrefs

Cf. A000079, A020714, A118654.

Cf. A123208, A048487, A131051, A153894.

Sequence in context: A006478 A104187 A131051 * A172265 A258272 A117727

Adjacent sequences: A051630 A051631 A051632 * A051634 A051635 A051636

Keyword

easy,nonn

Author

Asher Auel

Status

approved