This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A004406 Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-5). 2
 1, -10, 60, -280, 1110, -3912, 12600, -37760, 106620, -286290, 736184, -1822920, 4365800, -10149320, 22971120, -50744448, 109643350, -232145040, 482403060, -985229640, 1980034104, -3920000400, 7652388280, -14742829440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 FORMULA a(n) ~ (-1)^n * 5^(3/2)*exp(Pi*sqrt(5*n)) / (512*n^2). - Vaclav Kotesovec, Aug 18 2015 From Ilya Gutkovskiy, Sep 20 2018: (Start) G.f.: 1/theta_3(x)^5, where theta_3() is the Jacobi theta function. G.f.: Product_{k>=1} 1/((1 - x^(2*k))*(1 + x^(2*k-1))^2)^5. (End) MATHEMATICA nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^5, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 2015 *) CROSSREFS Cf. A000122, A000132. Sequence in context: A228581 A241929 A278721 * A003472 A112502 A293081 Adjacent sequences:  A004403 A004404 A004405 * A004407 A004408 A004409 KEYWORD sign AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)