login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A063233 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 79 ). 1
6, 19, 33, 45, 59, 71, 85, 97, 111, 123, 137, 149, 163, 175, 189, 201, 215, 227, 241, 253, 267, 279, 293, 305, 319, 331, 345, 357, 371, 383, 397, 409, 423, 435, 449, 461, 475, 487, 501, 513, 527, 539, 553, 565, 579, 591, 605, 617, 631, 643 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

William A. Stein, Dimensions of the spaces S_k^{new}(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)=(13/2)-(1/2)*(-1)^(n-1)+13*(n-1)-(-1)^n-{C[2*(n-1),n-1] mod 2}, with n>=1 [From Paolo P. Lava, Nov 27 2009]

Except for the first term, a(n)=26*(n-1)-a(n-1), (with a(2)=19) [From Vincenzo Librandi, Dec 07 2010]

a(n+2)=a(n)+26 (n>1) ; a(2n+1)=a(2n)+14 (n>0) ; a(2n)=a(2n-1)+12 (n>1) ; a(n) = 13n - { 6 if n=2k+1, k>0; 7 else } ; G.f. = x*(6 + 13*x + 8*x^2 - x^3)/(1 - x - x^2 + x^3). - M. F. Hasler, Mar 05 2012

CROSSREFS

Sequence in context: A092098 A186113 A162332 * A063147 A031014 A010899

Adjacent sequences:  A063230 A063231 A063232 * A063234 A063235 A063236

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 10 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 22 23:15 EDT 2017. Contains 288633 sequences.