A135659 a(n) = 24*n + 7.

7, 31, 55, 79, 103, 127, 151, 175, 199, 223, 247, 271, 295, 319, 343, 367, 391, 415, 439, 463, 487, 511, 535, 559, 583, 607, 631, 655, 679, 703, 727, 751, 775, 799, 823, 847, 871, 895, 919, 943, 967, 991, 1015, 1039, 1063, 1087, 1111, 1135, 1159, 1183, 1207

Offset: 0

Author

Artur Jasinski, Nov 25 2007

Keywords

• nonn
• easy

Comments

Conjecture: All Mersenne Primes (A000668) > 3 are in this sequence.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A107006, A124477, A135657, A135982.

Programs

Mathematica

Table[24n + 7, {n, 0, 100}]
LinearRecurrence[{2,-1},{7,31},60] (* Harvey P. Dale, Jul 14 2013 *)

Formula

From Colin Barker, Apr 02 2012: (Start)

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

G.f.: (7+17*x)/(1-x)^2. (End)

E.g.f.: (7 + 24*x)*exp(x). - G. C. Greubel, Oct 25 2016

Extensions

Offset changed to 0 by Omar E. Pol, Oct 25 2016