%I A053270
%S A053270 1,2,3,4,6,8,11,14,18,24,30,38,47,58,72,88,108,130,156,188,225,268,
%T A053270 318,376,444,522,612,716,834,972,1129,1308,1512,1744,2010,2310,2652,
%U A053270 3038,3474,3968,4524,5152,5857,6650,7542,8540,9660,10912,12312,13878
%N A053270 Coefficients of the '6th order' mock theta function rho(q)
%D A053270 George E. Andrews and Dean Hickerson, Ramanujan's "lost" notebook VII: 
               The sixth order mock theta functions, Advances in Mathematics, 89 
               (1991) 60-105
%D A053270 Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, 
               Narosa Publishing House, New Delhi, 1988, pp. 3, 13
%F A053270 G.f.: rho(q) = sum for n >= 0 of q^(n(n+1)/2) (1+q)(1+q^2)...(1+q^n)/
               ((1-q)(1-q^3)...(1-q^(2n+1)))
%t A053270 Series[Sum[q^(n(n+1)/2) Product[1+q^k, {k, 1, n}]/Product[1-q^k, {k, 
               1, 2n+1, 2}], {n, 0, 13}], {q, 0, 100}]
%Y A053270 Other '6th order' mock theta functions are at A053268, A053269, A053271, 
               A053272, A053273, A053274, A053275, A053276.
%Y A053270 Sequence in context: A034891 A143611 A062464 this_sequence A003412 A038348 
               A035945
%Y A053270 Adjacent sequences: A053267 A053268 A053269 this_sequence A053271 A053272 
               A053273
%K A053270 nonn,easy
%O A053270 0,2
%A A053270 Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999