A145235 a(n) = numerator of Atkin polynomials A_n(j) evaluated at j = 1728.

1008, 421344, 901254816, 77507914176, 33392993024160, 14400272882673216, 80771130598914068544, 13408007679419735378304, 19679603271468316601505696, 8496755026505881957246582080, 215817577673249401714063184832, 93197366130882174446119601563776, 1006205363432069396407530278283307584

Offset

1,1

Links

Table of n, a(n) for n=1..13.

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. A145295, A145093.

Sequence in context: A290286 A187863 A280869 * A210759 A171119 A153640

Adjacent sequences: A145232 A145233 A145234 * A145236 A145237 A145238

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 28 2009

Status

approved