A063305 Dimension of the space S_n^{new}(Gamma_1(32)) of weight n cuspidal newforms for Gamma_1( 32 ).

-1, 13, 31, 49, 67, 85, 103, 121, 139, 157, 175, 193, 211, 229, 247, 265, 283, 301, 319, 337, 355, 373, 391, 409, 427, 445, 463, 481, 499, 517, 535, 553, 571, 589, 607, 625, 643, 661, 679, 697, 715, 733, 751, 769, 787, 805, 823, 841, 859, 877

Offset: 2

Author

N. J. A. Sloane, Jul 14 2001

Keywords

• sign

Comments

Conjecture: a(n) = 18n - 41 for n > 2. - Peter Luschny, Mar 04 2012

Links

• William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))
• William A. Stein, The modular forms database
• Index entries for linear recurrences with constant coefficients, signature (2, -1).

Formula

a(n) = 2*a(n-1)-a(n-2) for n>4. G.f.: x^2*(-1+15*x+4*x^2)/(1-x)^2. [Colin Barker, Sep 28 2012]