%I A160971
%S A160971 264,480,504,240,82104,0,103128,1024080,4203864,1863840,5672869224,
%T A160971 15790320,81426730488,41356037952960,185023705021848,3639088741200,
%U A160971 631566517273421638632,3701044943799840,6265985243914780011624
%V A160971 264,-480,504,-240,82104,0,103128,1024080,4203864,1863840,5672869224,
%W A160971 15790320,81426730488,41356037952960,185023705021848,3639088741200,
%X A160971 631566517273421638632,3701044943799840,6265985243914780011624
%N A160971 Numerators of constant terms of Fourier series of meromorphic modular
forms E_k/Delta, where E_k is the normalized k th Eisenstein series
[cf. Serre reference] and Delta is the normalized unique weight-twelve
cusp form for the full modular group (the generating function of
Ramanujan's tau function.)
%D A160971 J.-P. Serre, A Course in Arithmetic, Springer-Verlag, 1973, p. 93.
%F A160971 For 2 <= k <= 1000 and k != 7, the 2-order of the full constant term
of E_k/Delta = 3 + ord_2(k - 7).
%Y A160971 Sequence in context: A065570 A050240 A105683 this_sequence A123654 A014745
A004533
%Y A160971 Adjacent sequences: A160968 A160969 A160970 this_sequence A160972 A160973
A160974
%K A160971 easy,frac,sign
%O A160971 2,1
%A A160971 Barry Brent (barrybrent(AT)iphouse.com), Jun 01 2009
|