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 A063110 Dimension of the space of weight 2n cusp forms for Gamma_0(42). 0
 5, 20, 36, 52, 68, 84, 100, 116, 132, 148, 164, 180, 196, 212, 228, 244, 260, 276, 292, 308, 324, 340, 356, 372, 388, 404, 420, 436, 452, 468, 484, 500, 516, 532, 548, 564, 580, 596, 612, 628, 644, 660, 676, 692, 708, 724, 740, 756, 772, 788 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Except for initial term is same as n such Mod(2*fibonacci(n)+1,7)=0 - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 29 2004 From Michael Somos, May 29 2013: (Start) Dimension of  the space of weight n+1 cusp forms for Gamma_1(24). Dimension of the space of weight 2n+1 cusp forms for Gamma_0(42) is 0. (End) LINKS William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)). William A. Stein, The modular forms database FORMULA Conjecture: a(n) = 16*n-12 for n>1. a(n) = 2*a(n-1)-a(n-2) for n>3. G.f.: x*(5+10*x+x^2)/(1-x)^2. - Colin Barker, Sep 23 2012 PROG (PARI) {a(n) = if( n<2, 5*(n==1), 16*n - 12)}; /* Michael Somos, May 29 2013 */ (Sage) def a(n) : return( len( CuspForms( Gamma1( 24), n+1, prec = 1). basis())); # Michael Somos, May 29 2013 CROSSREFS Sequence in context: A047716 A344190 A326005 * A044066 A013337 A031082 Adjacent sequences:  A063107 A063108 A063109 * A063111 A063112 A063113 KEYWORD nonn AUTHOR N. J. A. Sloane, Jul 08 2001 STATUS approved

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Last modified August 5 15:17 EDT 2021. Contains 346472 sequences. (Running on oeis4.)