Search: id:A053255
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%I A053255
%S A053255 1,1,0,1,0,1,1,1,0,1,1,0,2,1,1,1,1,1,2,1,0,2,1,1,2,2,1,3,2,1,3,2,1,3,
%T A053255 2,1,4,3,1,4,2,2,4,3,2,5,4,2,6,3,2,6,4,2,7,5,2,7,5,3,8,6,3,9,6,3,10,6,
%U A053255 4,10,7,4,12,8,4,13,8,5,13,9,5,15,10,5,16,11,6,17,12,7,19,13,6,21,13
%V A053255 1,-1,0,1,0,-1,1,-1,0,1,-1,0,2,-1,-1,1,-1,-1,2,-1,0,2,-1,-1,2,-2,-1,3,
               -2,-1,3,-2,-1,3,
%W A053255 -2,-1,4,-3,-1,4,-2,-2,4,-3,-2,5,-4,-2,6,-3,-2,6,-4,-2,7,-5,-2,7,-5,-3,
               8,-6,-3,9,-6,-3,10,-6,
%X A053255 -4,10,-7,-4,12,-8,-4,13,-8,-5,13,-9,-5,15,-10,-5,16,-11,-6,17,-12,-7,
               19,-13,-6,21,-13
%N A053255 Coefficients of the '3rd order' mock theta function rho(q)
%D A053255 Leila A. Dragonette, Some asymptotic formulae for the mock theta functions 
               of Ramanujan, Trans. Amer. Math. Soc., 72 (1952) 474-500
%D A053255 Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, 
               Narosa Publishing House, New Delhi, 1988, p. 15
%D A053255 George N. Watson, The final problem: an account of the mock theta functions, 
               J. London Math. Soc., 11 (1936) 55-80
%F A053255 G.f.: rho(q) = sum for n >= 0 of q^(2n(n+1))/((1+q+q^2)(1+q^3+q^6)...(1+q^(2n+1)+q^(4n+2)))
%t A053255 Series[Sum[q^(2n(n+1))/Product[1+q^(2k+1)+q^(4k+2), {k, 0, n}], {n, 0, 
               6}], {q, 0, 100}]
%Y A053255 Other '3rd order' mock theta functions are at A000025, A053250, A053251, 
               A053252, A053253, A053254.
%Y A053255 Sequence in context: A155869 A154338 A087436 this_sequence A085856 A132126 
               A031264
%Y A053255 Adjacent sequences: A053252 A053253 A053254 this_sequence A053256 A053257 
               A053258
%K A053255 sign,easy
%O A053255 0,13
%A A053255 Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999

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