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a(n) ~ exp(2*Pi*sqrt(2*n/15)) / (2^(3/4) * 15^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 28 2018
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nonn,more,changed
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1, 2, 3, 6, 9, 12, 18, 26, 34, 48, 66, 86, 115, 152, 196, 252, 324, 410, 518, 652, 815, 1016, 1260, 1556, 1914, 2344, 2860, 3482, 4222, 5104, 6160, 7408, 8883, 10634, 12694, 15112, 17962, 21300, 25198, 29764, 35091, 41284, 48495, 56870, 66567, 77800, 90790, 105780, 123070, 142988
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
G. C. Greubel, <a href="/A058616/b058616.txt">Table of n, a(n) for n = -1..2500</a>
D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Comm. Algebra 22, No. 13, 5175-5193 (1994).
Expansion of q^(1/3)*(eta(q^2)*eta(q^5)/(eta(q)*eta(q^10)))^2 in powers of q. - G. C. Greubel, Jun 23 2018
eta[q_] := q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q^(1/3)*(eta[q^2]*eta[q^5]/(eta[q]*eta[q^10]))^2, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 23 2018 *)
(PARI) q='q+O('q^50); Vec((eta(q^2)*eta(q^5)/(eta(q)*eta(q^10)))^2) \\ G. C. Greubel, Jun 23 2018
Terms a(8) onward added by G. C. Greubel, Jun 23 2018
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