A140529 a(n) = 6*4^n - 1.

5, 23, 95, 383, 1535, 6143, 24575, 98303, 393215, 1572863, 6291455, 25165823, 100663295, 402653183, 1610612735, 6442450943, 25769803775, 103079215103, 412316860415, 1649267441663, 6597069766655, 26388279066623, 105553116266495

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-4).

Formula

a(n) = 4*a(n-1) + 3, a(0)=5.

a(n) = A002023(n) - 1 = A000302(n+1) + A083420(n).

G.f.: (5 - 2*x)/((4*x - 1)*(x - 1)). - R. J. Mathar, Jul 08 2022

E.g.f.: exp(x)*(6*exp(3*x) - 1). - Stefano Spezia, Dec 17 2025

Mathematica

NestList[4#+3&, 5, 30] (* Harvey P. Dale, Jan 14 2022 *)

Prog

(Magma) [6*4^n-1: n in [0..30]]; // Vincenzo Librandi, Aug 08 2011

Crossrefs

Cf. A000302, A002023, A028894, A083420.

Sequence in context: A146013 A028894 A254824 * A055489 A109765 A323922

Adjacent sequences: A140526 A140527 A140528 * A140530 A140531 A140532

Keyword

nonn,easy

Author

Paul Curtz, Jul 03 2008

Status

approved