A101435 Dimension of a certain space of modular forms of weight 2 and level p^2, where p runs through the primes > 3 that are == 3 mod 4. See reference for precise definition.

1, 1, 1, 3, 3, 3, 5, 5, 5, 7, 7, 7, 9, 9, 11, 11, 11, 13, 13, 15, 15, 17, 17, 17, 19, 19, 21, 21, 23, 23, 23, 25, 27, 27, 29, 31, 31, 31, 33, 35, 37, 37, 37, 39, 39, 41, 41, 41, 41, 43, 43, 45, 47, 47, 49, 51, 51, 51, 53, 53, 55, 55, 57, 57, 61, 61, 61, 63, 63, 65, 67, 69, 69, 71, 71, 73

Offset

1,4

Links

Table of n, a(n) for n=1..76.

A. Pacetti and F. Rodriguez Villegas, Computing weight two modular forms of level p^2, Math. Comp. 74 (2004), 1545-1557. See Table 1.

Maple

with(numtheory); L:=legendre; f:=p->(p+5)/12 + (1-L(-3, p))/3-(1-L(2, p))/2;

Crossrefs

Cf. A002143.

Sequence in context: A101290 A080605 A130823 * A077886 A096015 A046702

Adjacent sequences: A101432 A101433 A101434 * A101436 A101437 A101438

Keyword

nonn

Author

N. J. A. Sloane, Nov 29 2006

Status

approved