A206371 a(n) = 31*2^n + 1.

32, 63, 125, 249, 497, 993, 1985, 3969, 7937, 15873, 31745, 63489, 126977, 253953, 507905, 1015809, 2031617, 4063233, 8126465, 16252929, 32505857, 65011713, 130023425, 260046849, 520093697, 1040187393, 2080374785, 4160749569, 8321499137, 16642998273

Offset: 0

Author

Brad Clardy, Feb 07 2012

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000079, A083686, A198275, A257548.

Programs

Magma

[31*2^n +1 : n in [0..35]];

Mathematica

1+31*2^Range[0,50] (* G. C. Greubel, Jan 05 2023 *)

PARI

a(n)=31<Charles R Greathouse IV, Jun 01 2015

SageMath

[1+31*2^n for n in range(51)] # G. C. Greubel, Jan 05 2023

Formula

a(n) = 31*2^n + 1.

a(n) = A198275(n) + 2*A083686(n).

From G. C. Greubel, Jan 05 2023: (Start)

a(n) = 31*A000079(n) + 1.

a(n) = A257548(n) + 1, for n > 5.

G.f.: (32-33*x)/((1-x)*(1-2*x)).

E.g.f.: exp(x) + 31*exp(2*x). (End)