A196305 a(n) = 15*2^n - 1.

14, 29, 59, 119, 239, 479, 959, 1919, 3839, 7679, 15359, 30719, 61439, 122879, 245759, 491519, 983039, 1966079, 3932159, 7864319, 15728639, 31457279, 62914559, 125829119, 251658239, 503316479, 1006632959, 2013265919, 4026531839, 8053063679, 16106127359, 32212254719, 64424509439

Offset

0,1

Comments

Primes of this sequence are in A196940.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

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

Formula

a(n) = 15*2^n - 1.

a(n) = A033484(n+1) + A083705(n).

From Philippe Deléham, Feb 17 2014: (Start)

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

a(n) = 3*a(n-2) - 2*a(n-2).

a(n) = A110286(n) - 1. (End)

From Elmo R. Oliveira, Sep 14 2024: (Start)

G.f.: (14 - 13*x)/((1 - x)*(1 - 2*x)).

E.g.f.: exp(x)*(15*exp(x) - 1). (End)

Prog

(Magma) [15*2^n -1 : n in [0..50]];
(PARI) a(n)=15<<n-1 \\ Charles R Greathouse IV, Oct 08 2011

Crossrefs

Cf. A033484, A083705, A110286 (first differences), A196940.

Sequence in context: A124681 A195145 A263119 * A041386 A041388 A042617

Adjacent sequences: A196302 A196303 A196304 * A196306 A196307 A196308

Keyword

nonn,easy

Author

Brad Clardy, Oct 07 2011

Status

approved