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A063093 Dimension of the space of weight 2n cusp forms for Gamma_0( 25 ). 0
0, 5, 9, 15, 19, 25, 29, 35, 39, 45, 49, 55, 59, 65, 69, 75, 79, 85, 89, 95, 99, 105, 109, 115, 119, 125, 129, 135, 139, 145, 149, 155, 159, 165, 169, 175, 179, 185, 189, 195, 199, 205, 209, 215, 219, 225, 229, 235, 239, 245 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If b(n) is the sequence of integers congruent to {0,3}(mod 5) and c(n) is the sequence of integers congruent to {2,4}(mod 5). Then a(n)=b(n)+c(n). Equivalently a(n) = A047218(n+1) + A047211(n). - Anthony Hernandez, Aug 16 2016

LINKS

Table of n, a(n) for n=1..50.

William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (1,1,-1).

FORMULA

a(n) = 10*n-a(n-1)-16 for n>2, with a(1)=0, a(2)=5. [Vincenzo Librandi, Aug 07 2010]

a(n) = ((-1)^n+10*n-11)/2 for n>1. a(n)=a(n-1)+a(n-2)-a(n-3) for n>3. G.f.: x^2*(5+4*x+x^2)/((1-x)^2*(1+x)). [Colin Barker, Sep 26 2012]

MATHEMATICA

Rest@ CoefficientList[Series[x^2*(5 + 4 x + x^2)/((1 - x)^2*(1 + x)), {x, 0, 50}], x] (* Michael De Vlieger, Aug 26 2016 *)

CROSSREFS

Sequence in context: A246156 A059655 A250120 * A233185 A095948 A215721

Adjacent sequences:  A063090 A063091 A063092 * A063094 A063095 A063096

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 08 2001

STATUS

approved

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Last modified February 21 19:50 EST 2018. Contains 299423 sequences. (Running on oeis4.)