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 A053273 Coefficients of the '6th order' mock theta function 2 mu(q) 6

%I

%S 1,2,-3,4,-4,6,-11,14,-15,22,-31,34,-41,56,-69,82,-98,120,-152,178,

%T -204,254,-308,354,-415,496,-587,680,-785,922,-1084,1248,-1427,1664,

%U -1935,2202,-2517,2906,-3336,3798,-4315,4930,-5636,6380,-7202,8194,-9305,10474,-11801,13342,-15050

%N Coefficients of the '6th order' mock theta function 2 mu(q)

%D 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%D Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13

%F G.f.: 2 mu(q) = 1 + sum for n >= 0 of (-1)^n q^(n+1) (1+q^n) (1-q)(1-q^3)...(1-q^(2n-1))/((1+q)(1+q^2)...(1+q^(n+1)))

%t Series[1+Sum[(-1)^n q^(n+1) (1+q^n) Product[1-q^k, {k, 1, 2n-1, 2}]/Product[1+q^k, {k, 1, n+1}], {n, 0, 99}], {q, 0, 100}]

%Y Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053272, A053274, A053275, A053276.

%K sign,easy

%O 0,2

%A Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999

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