Search: id:A053252
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%I A053252
%S A053252 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,
%T A053252 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,
%U A053252 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
%V A053252 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,
%W A053252 -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,
%X A053252 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
%N A053252 Coefficients of the '3rd order' mock theta function chi(q).
%D A053252 Leila A. Dragonette, Some asymptotic formulae for the mock theta functions 
               of Ramanujan, Trans. Amer. Math. Soc., 72 (1952) 474-500.
%D A053252 N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. 
               Soc., 1988; p. 55, Eq. (26.14).
%D A053252 Srinivasa Ramanujan, Collected Papers, Chelsea, New York, 1962, pp. 354-355.
%D A053252 Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, 
               Narosa Publishing House, New Delhi, 1988, p. 17.
%D A053252 George N. Watson, The final problem: an account of the mock theta functions, 
               J. London Math. Soc., 11 (1936) 55-80.
%F A053252 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))).
%t A053252 Series[Sum[q^n^2/Product[1-q^k+q^(2k), {k, 1, n}], {n, 0, 10}], {q, 0, 
               100}]
%Y A053252 Other '3rd order' mock theta functions are at A000025, A053250, A053251, 
               A053253, A053254, A053255.
%Y A053252 Sequence in context: A106276 A037907 A037801 this_sequence A117195 A156606 
               A107034
%Y A053252 Adjacent sequences: A053249 A053250 A053251 this_sequence A053253 A053254 
               A053255
%K A053252 sign,easy
%O A053252 0,38
%A A053252 Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999

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