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A145295 a(n) = denominator of Atkin polynomials A_n(j) evaluated at j = 1728. 5
1, 1, 5, 1, 1, 1, 13, 5, 17, 17, 1, 1, 25, 5, 29, 29, 29, 5, 37, 481, 1517, 41, 205, 41, 1, 17, 901, 265, 53, 53, 3233, 61, 3965, 61, 61, 1, 73, 1825, 365, 73, 73, 73, 85, 493, 2581, 33553, 89, 445, 8633, 8633, 871933, 871933, 48985, 9797, 1067873, 39511301, 46028629, 230143145 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..58.

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

See Maple code for formula.

EXAMPLE

1008, 421344, 901254816/5, 77507914176, 33392993024160, 14400272882673216, 80771130598914068544/13, ...

MAPLE

af:=proc(a, n) mul(a+i, i=0..n-1); end; A1728:=n->-12^(3*n+1)*af(-1/12, n)*af(7/12, n)/(2*n-1)!;

CROSSREFS

Cf. A145235, A145093.

Sequence in context: A229526 A204007 A242404 * A091051 A183097 A285486

Adjacent sequences:  A145292 A145293 A145294 * A145296 A145297 A145298

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Feb 28 2009

STATUS

approved

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Last modified May 19 22:56 EDT 2019. Contains 323411 sequences. (Running on oeis4.)