A246139 a(n) = 2^n + 10.

11, 12, 14, 18, 26, 42, 74, 138, 266, 522, 1034, 2058, 4106, 8202, 16394, 32778, 65546, 131082, 262154, 524298, 1048586, 2097162, 4194314, 8388618, 16777226, 33554442, 67108874, 134217738, 268435466, 536870922, 1073741834, 2147483658, 4294967306

Offset: 0

Author

Vincenzo Librandi, Aug 18 2014

Keywords

• nonn
• easy

Comments

First trisection of A085688. [Bruno Berselli, Aug 19 2014]

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (3,-2).

Crossrefs

Cf. Sequences of the form 2^n + k: A000079 (k=0), A000051 (k=1), A052548 (k=2), A062709 (k=3), A140504 (k=4), A168614 (k=5), A153972 (k=6), A168415 (k=7), A242475 (k=8), A188165 (k=9), this sequence (k=10).

Cf. A085688.

Programs

Magma

[2^n+10: n in [0..40]];

Mathematica

Table[2^n + 10, {n, 0, 40}]

PARI

vector(50, n, 2^(n-1)+10) \\ Derek Orr, Aug 18 2014

Formula

G.f.: (11 - 21*x)/(1 - 3*x + 2*x^2).

a(n) = A000079(n) + 10.

a(n) = 3*a(n-1) - 2*a(n-2) for n > 1.

E.g.f.: exp(2*x) + 10*exp(x). - Elmo R. Oliveira, Nov 11 2023