The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A159631 Dimension of space of modular forms of weight 1/2, level 4*n and trivial character. 4
 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS We have a(n) = A046951(n) for all n < 125, but a(125)=3 > 2=A046951(125). Also, the first nonzero cusp form of weight 1/2 occurs at level 1728. LINKS Antti Karttunen, Table of n, a(n) for n = 1..1200 H. Cohen and J. Oesterle, Dimensions des espaces de formes modulaires, Modular Functions of One Variable. VI, Proc. 1976 Bonn conf., Lect. Notes in Math. 627, Springer-Verlag, 1977, pp. 69-78. PROG (MAGMA) [[4*n, Dimension(HalfIntegralWeightForms(4*n, 1/2))] : n in [1..125]] (MAGMA) function a(n) return Dimension( ModularForms( Gamma0(4*n), 1/2)); end function; /* Michael Somos, Jun 13 2014 */ CROSSREFS Cf. A046951. Sequence in context: A049419 A299090 A046951 * A335428 A050377 A255231 Adjacent sequences:  A159628 A159629 A159630 * A159632 A159633 A159634 KEYWORD nonn AUTHOR Steven Finch, Apr 17 2009 EXTENSIONS Data section filled up to 125 terms by Antti Karttunen, Jul 23 2017 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 13 00:17 EDT 2021. Contains 342934 sequences. (Running on oeis4.)