OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..833
FORMULA
a(n) = 2^n * A089603(n). - Seiichi Manyama, Jan 13 2019
a(n) ~ 2^(4*n - 1/2) / (n * sqrt(Pi*log(n))) * (1 - (gamma/2 + log(2))/log(n) + (3*gamma^2/8 + 3*log(2)*gamma/2 + 3*log(2)^2/2 - Pi^2/16) / log(n)^2), where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Sep 29 2019
MATHEMATICA
nmax = 25; CoefficientList[Series[(EllipticK[(8*x/(1 - 8*x))^2]/((1 - 8*x)*Pi/2))^(1/2), {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 26 2019 *)
PROG
(PARI) Vec( 1/agm(1, 1-16*x+O(x^66))^(1/2) ) \\ Joerg Arndt, Aug 14 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Peter J Larcombe, Jan 19 2004
EXTENSIONS
More terms from Christian G. Bower, Jan 19 2004
STATUS
approved