The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A205988 Expansion of f(x^1, x^9) in powers of x where f(, ) is Ramanujan's general theta function. 7
 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Characteristic function of A195162. - Jason Kimberley, Nov 15 2012 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 S. Cooper and M. D. Hirschhorn, Results of Hurwitz type for three squares. Discrete Math. 274 (2004), no. 1-3, 9-24. See E(q). Michael Somos, Introduction to Ramanujan theta functions Eric Weisstein's World of Mathematics, Ramanujan Theta Functions FORMULA G.f.: f(x, x^9) = Sum_{k in Z} x^(5*k^2 + 4*k). EXAMPLE G.f. = 1 + x + x^9 + x^12 + x^28 + x^33 + x^57 + x^64 + x^96 + x^105 + x^145 + ... MATHEMATICA CoefficientList[Series[QPochhammer[-q, q^10]* QPochhammer[-q^9, q^10]*QPochhammer[q^10, q^10], {q, 0, 160}], q] (* G. C. Greubel, Aug 12 2018 *) CROSSREFS Sequence in context: A016373 A281815 A353633 * A167700 A010057 A359548 Adjacent sequences: A205985 A205986 A205987 * A205989 A205990 A205991 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Feb 02 2012 STATUS approved

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

Last modified February 23 14:24 EST 2024. Contains 370283 sequences. (Running on oeis4.)