The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS 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 #4 Sep 25 2017 07:13:39

%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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 6 14:21 EDT 2024. Contains 373128 sequences. (Running on oeis4.)