# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a127393 Showing 1-1 of 1 %I A127393 #8 Jun 11 2017 20:23:13 %S A127393 4,-16,56,-160,404,-944,2072,-4320,8648,-16720,31360,-57312,102364, %T A127393 -179104,307672,-519808,864960,-1419456,2299832,-3682400,5831784, %U A127393 -9141808,14194200,-21842368,33329700,-50456352,75813240,-113107872,167616832,-246811504,361218392,-525598496 %N A127393 Expansion of k/q^(1/2) in powers of q, where k is the elliptic function defined by sqrt(k) = theta_2/theta_3. %C A127393 The elliptic modulus k is often used in elliptic integrals. - _Michael Somos_, Jun 11 2017 %F A127393 a(n) = 4*A001938(n). %F A127393 k = q^(1/2) - 16*q^(3/2) + 56*q^(5/2) - 160*q^(7/2) + ... where the nome q = e^(-Pi*K'/K). - _Michael Somos_, Jun 11 2017 %Y A127393 See A001938, the main entry for this sequence, for further information. %K A127393 sign %O A127393 0,1 %A A127393 _N. J. A. Sloane_, Apr 01 2007 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE