

A274346


Denominators of coefficients in the expansion of (log(q)  log(k^2/16))/(8*k^2/16) in powers of k^2/16, where q is the Jacobi nome and k^2 the parameter of elliptic functions.


3



1, 2, 3, 4, 5, 3, 7, 8, 9, 5, 11, 3, 13, 7, 15, 16, 17, 9, 19, 5, 21, 11, 23, 3, 25, 1, 27, 7, 29, 3, 31, 32, 33, 17, 35, 9, 37, 19, 39, 5, 41, 21, 43, 11, 9, 23, 47, 6, 49, 25, 51, 13, 53, 27, 55, 7, 57, 29, 59, 15, 61, 31, 63, 64, 1, 33, 67, 17, 3, 35, 71, 9, 73, 37, 75, 19, 11, 39, 79, 10
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OFFSET

0,2


COMMENTS

The numerators are given in A274345, where also details and the first rationals are given.
The Mathematica program below gives the rationals r(n1), n = 1..50.


LINKS



FORMULA

a(n) = denominator(A227503(n+1)/(n+1)), n >= 0.
(log(q)  log(k^2/16))/(8*k^2/16) = Sum_{n >= 0} (A274345(n)/a(n))*(k^2/16)^n.


MATHEMATICA

Table[SeriesCoefficient[Log[EllipticNomeQ[16 x]/x]/8, {x, 0, n}], {n, 1, 50}] // Denominator (* Vaclav Kotesovec, Jun 30 2016 *)


CROSSREFS



KEYWORD

nonn,easy,frac


AUTHOR



EXTENSIONS



STATUS

approved



