A145226 a(n) = numerator of constant lambda(n) involved in a recurrence for the Atkin polynomials A_k(j).

720, 546, 374, 475, 2001, 2294, 410, 903, 2491, 1342, 4602, 4891, 5467, 40290, 14774, 8827, 28785, 22454, 24182, 8349, 425, 4826, 107682, 20155, 21307, 142242, 49910, 27547, 86673, 12670, 13246, 108273, 37627, 81590, 36366, 6541, 47515, 306402, 105782, 11327

Offset

1,1

Links

Table of n, a(n) for n=1..40.

M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998

Formula

For formula see Maple code.

Example

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

Maple

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

Crossrefs

Cf. A145227.

Sequence in context: A267287 A267746 A267026 * A056467 A056457 A068351

Adjacent sequences: A145223 A145224 A145225 * A145227 A145228 A145229

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 28 2009

Status

approved