A017317 a(n) = 10*n + 4.

4, 14, 24, 34, 44, 54, 64, 74, 84, 94, 104, 114, 124, 134, 144, 154, 164, 174, 184, 194, 204, 214, 224, 234, 244, 254, 264, 274, 284, 294, 304, 314, 324, 334, 344, 354, 364, 374, 384, 394, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 504, 514, 524, 534

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0(59).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..5000
• Tanya Khovanova, Recursive Sequences.
• William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).
• William A. Stein, The modular forms database.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008592, A016873, A016897, A017305.

Programs

Magma

[10*n+4: n in [0..60]]; // Vincenzo Librandi, May 29 2011

Mathematica

Range[4, 1000, 10] (* Vladimir Joseph Stephan Orlovsky, May 28 2011 *)

PARI

a(n)=10*n+4 \\ Charles R Greathouse IV, Jul 10 2016

Formula

a(n) = 10*n + 4; a(n) = 2*a(n-1) - a(n-2). - Vincenzo Librandi, May 29 2011

G.f.: 2*(2+3*x)/(x-1)^2. - R. J. Mathar, Mar 20 2018

From Elmo R. Oliveira, Apr 05 2025: (Start)

E.g.f.: 2*exp(x)*(2 + 5*x).

a(n) = 2*A016873(n) = A016897(2*n). (End)