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 A053252 Coefficients of the '3rd order' mock theta function chi(q). 10
 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, 1, 1, -1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 0, 1, 2, 1, -1, -1, 0, 1, 1, 0, -1, -2, 0, 1, 2, 1, -1, -1, -1, 1, 2, 1, -1, -2, -1, 2, 2, 1, -1, -2, -1, 1, 2, 0, -1, -3, 0, 2, 3, 2, -2, -2, -1, 2, 3, 0, -2, -3, -1, 2, 3, 2, -3, -3, -1, 2, 4, 1, -2, -4, -1, 3, 4, 2, -2, -4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,38 REFERENCES N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. Soc., 1988; p. 55, Eq. (26.14). Srinivasa Ramanujan, Collected Papers, Chelsea, New York, 1962, pp. 354-355. Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 17. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Leila A. Dragonette, Some asymptotic formulas for the mock theta series of Ramanujan, Trans. Amer. Math. Soc., 72 (1952) 474-500. John F. R. Duncan, Michael J. Griffin and Ken Ono, Proof of the Umbral Moonshine Conjecture, arXiv:1503.01472 [math.RT], 2015. George N. Watson, The final problem: an account of the mock theta functions, J. London Math. Soc., 11 (1936) 55-80. FORMULA G.f.: chi(q) = sum for n >= 0 of q^n^2/((1-q+q^2)(1-q^2+q^4)...(1-q^n+q^(2n))). G.f.: G(0), where G(k) = 1 + q^(k+1) / (1 - q^(k+1)) / G(k+1). [Joerg Arndt, Jun 29 2013] MATHEMATICA Series[Sum[q^n^2/Product[1-q^k+q^(2k), {k, 1, n}], {n, 0, 10}], {q, 0, 100}] CROSSREFS Other '3rd order' mock theta functions are at A000025, A053250, A053251, A053253, A053254, A053255, A261401. Sequence in context: A037907 A037801 A260413 * A261029 A117195 A156606 Adjacent sequences:  A053249 A053250 A053251 * A053253 A053254 A053255 KEYWORD sign,easy AUTHOR Dean Hickerson, Dec 19 1999 STATUS approved

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Last modified December 15 04:33 EST 2018. Contains 318141 sequences. (Running on oeis4.)