Search: id:A053254
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%I A053254
%S A053254 1,1,2,2,2,3,4,4,5,6,6,8,10,10,12,14,15,18,20,22,26,29,32,36,40,44,50,
%T A053254 56,60,68,76,82,92,101,110,122,134,146,160,176,191,210,230,248,272,
%U A053254 296,320,350,380,410,446,484,522,566,612,660,715,772,830,896,966,1038
%V A053254 1,-1,2,-2,2,-3,4,-4,5,-6,6,-8,10,-10,12,-14,15,-18,20,-22,26,-29,32,-36,
               40,-44,50,
%W A053254 -56,60,-68,76,-82,92,-101,110,-122,134,-146,160,-176,191,-210,230,-248,
               272,
%X A053254 -296,320,-350,380,-410,446,-484,522,-566,612,-660,715,-772,830,-896,966,
               -1038
%N A053254 Coefficients of the '3rd order' mock theta function nu(q)
%D A053254 Leila A. Dragonette, Some asymptotic formulae for the mock theta functions 
               of Ramanujan, Trans. Amer. Math. Soc., 72 (1952) 474-500
%D A053254 Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, 
               Narosa Publishing House, New Delhi, 1988, p. 31
%D A053254 George N. Watson, The final problem: an account of the mock theta functions, 
               J. London Math. Soc., 11 (1936) 55-80
%F A053254 G.f.: nu(q) = sum for n >= 0 of q^(n(n+1))/((1+q)(1+q^3)...(1+q^(2n+1)))
%F A053254 (-1)^n a(n) = number of partitions of n in which even parts are distinct 
               and if k occurs then so does every positive even number less than 
               k
%t A053254 Series[Sum[q^(n(n+1))/Product[1+q^(2k+1), {k, 0, n}], {n, 0, 9}], {q, 
               0, 100}]
%Y A053254 Other '3rd order' mock theta functions are at A000025, A053250, A053251, 
               A053252, A053253, A053255.
%Y A053254 Sequence in context: A000929 A029146 A029053 this_sequence A067357 A051059 
               A132967
%Y A053254 Adjacent sequences: A053251 A053252 A053253 this_sequence A053255 A053256 
               A053257
%K A053254 sign,easy
%O A053254 0,3
%A A053254 Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999

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