A017305 a(n) = 10*n + 3.

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, 123, 133, 143, 153, 163, 173, 183, 193, 203, 213, 223, 233, 243, 253, 263, 273, 283, 293, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 403, 413, 423, 433, 443, 453, 463, 473, 483, 493, 503, 513, 523, 533

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(38).

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, A016885, A017198, A017281, A017293, A156677.

Programs

Magma

[10*n+3: n in [0..60]]; // Vincenzo Librandi, May 28 2011

Mathematica

Range[3, 1000, 10] (* Vladimir Joseph Stephan Orlovsky, May 28 2011 *)

Formula

a(n) = A017198(n) - A156677(n+2). - Reinhard Zumkeller, Jul 13 2010

a(n) = 2*a(n-1) - a(n-2). - Vincenzo Librandi, May 28 2011

G.f.: (3+7*x)/(x-1)^2. - R. J. Mathar, Apr 11 2016

E.g.f.: exp(x)*(3 + 10*x). - Stefano Spezia, Aug 22 2023

a(n) = A016885(2*n). - Elmo R. Oliveira, Apr 10 2025