A063291 Dimension of the space of weight n cuspidal newforms for Gamma_1( 18 ).
-1, 2, 6, 7, 8, 13, 14, 16, 20, 22, 22, 27, 28, 31, 34, 36, 36, 42, 42, 45, 48, 51, 50, 56, 56, 60, 62, 65, 64, 71, 70, 74, 76, 80, 78, 85, 84, 89, 90, 94, 92, 100, 98, 103, 104, 109, 106, 114, 112, 118, 118, 123, 120, 129, 126, 132, 132, 138, 134, 143
Offset: 2
Keywords
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 (0, 0, 0, 1, 0, 1, 0, 0, 0, -1).
Crossrefs
Cf. A315907 (bisection?)
Formula
From Colin Barker, Feb 24 2016: (Start)
a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
G.f.: -x^2*(1 -2*x -6*x^2 -7*x^3 -9*x^4 -11*x^5 -9*x^6 -7*x^7 -6*x^8 -2*x^9 +x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
(End)