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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A145226 a(n) = numerator of constant lambda(n) involved in a recurrence for the Atkin polynomials A_k(j). 1

%I

%S 720,546,374,475,2001,2294,410,903,2491,1342,4602,4891,5467,40290,

%T 14774,8827,28785,22454,24182,8349,425,4826,107682,20155,21307,142242,

%U 49910,27547,86673,12670,13246,108273,37627,81590,36366,6541,47515,306402,105782,11327

%N a(n) = numerator of constant lambda(n) involved in a recurrence for the Atkin polynomials A_k(j).

%H M. Kaneko and D. Zagier, <a href="http://www2.math.kyushu-u.ac.jp/~mkaneko/papers/atkin.pdf">Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials</a>, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998

%F For formula see Maple code.

%e 720, 546, 374, 475, 2001/5, 2294/5, 410, 903/2, 2491/6, 1342/3, 4602/11, 4891/11, ...

%p lambda:=proc(n) if n=1 then 720 else 12*(6+(-1)^n/(n-1))*(6+(-1)^n/n); fi; end;

%Y Cf. A145227.

%K nonn,frac

%O 1,1

%A _N. J. A. Sloane_, Feb 28 2009

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 17:06 EDT 2021. Contains 348042 sequences. (Running on oeis4.)