# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a145295 Showing 1-1 of 1 %I A145295 #4 Sep 25 2017 07:07:14 %S A145295 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, %T A145295 17,901,265,53,53,3233,61,3965,61,61,1,73,1825,365,73,73,73,85,493, %U A145295 2581,33553,89,445,8633,8633,871933,871933,48985,9797,1067873,39511301,46028629,230143145 %N A145295 a(n) = denominator of Atkin polynomials A_n(j) evaluated at j = 1728. %H A145295 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 %F A145295 See Maple code for formula. %e A145295 1008, 421344, 901254816/5, 77507914176, 33392993024160, 14400272882673216, 80771130598914068544/13, ... %p A145295 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)!; %Y A145295 Cf. A145235, A145093. %K A145295 nonn,frac %O A145295 1,3 %A A145295 _N. J. A. Sloane_, Feb 28 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE