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A063300 Dimension of the space of weight n cuspidal newforms for Gamma_1( 27 ). 0
-1, 13, 35, 56, 77, 99, 120, 141, 163, 184, 205, 227, 248, 269, 291, 312, 333, 355, 376, 397, 419, 440, 461, 483, 504, 525, 547, 568, 589, 611, 632, 653, 675, 696, 717, 739, 760, 781, 803, 824, 845, 867, 888, 909, 931, 952, 973, 995, 1016, 1037 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..51.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

FORMULA

Conjectures from Colin Barker, Feb 24 2015: (Start)

a(n) = a(n-1)+a(n-3)-a(n-4) for n>6.

G.f.: x^2*(7*x^4+22*x^3+22*x^2+14*x-1) / ((x-1)^2*(x^2+x+1)).

(End)

CROSSREFS

Sequence in context: A271750 A082214 A115161 * A227986 A228024 A243383

Adjacent sequences: A063297 A063298 A063299 * A063301 A063302 A063303

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified February 3 18:25 EST 2023. Contains 360044 sequences. (Running on oeis4.)