A063097 Dimension of the space of weight 2n cusp forms for Gamma_0( 29 ).

2, 7, 11, 17, 21, 27, 31, 37, 41, 47, 51, 57, 61, 67, 71, 77, 81, 87, 91, 97, 101, 107, 111, 117, 121, 127, 131, 137, 141, 147, 151, 157, 161, 167, 171, 177, 181, 187, 191, 197, 201, 207, 211, 217, 221, 227, 231, 237, 241, 247

Offset

1,1

Links

Table of n, a(n) for n=1..50.

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 (1,1,-1).

Formula

a(n) = 10*n-a(n-1)-12 for n>2, with a(1)=2, a(2)=7. [Vincenzo Librandi, Aug 07 2010]

a(n) = (-7+(-1)^n+10*n)/2. a(n)=a(n-1)+a(n-2)-a(n-3) for n>4. G.f.: x*(x^3 +2*x^2 +5*x +2) / ((x -1)^2*(x +1)). - Colin Barker, Sep 08 2013

Mathematica

LinearRecurrence[{1, 1, -1}, {2, 7, 11, 17}, 50] (* Harvey P. Dale, Oct 09 2019 *)

Crossrefs

Sequence in context: A356003 A063205 A090613 * A297469 A356190 A168421

Adjacent sequences: A063094 A063095 A063096 * A063098 A063099 A063100

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 08 2001

Status

approved