A101435 - OEIS

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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, 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

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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

Sequence in context: A101290 A080605 A130823 * A373013 A077886 A096015

Adjacent sequences: A101432 A101433 A101434 * A101436 A101437 A101438

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 29 2006

STATUS

approved