OFFSET
-1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = -1..1000
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of (6 + T9b)^(1/3), where T9b = A112146, in powers of q^3. - G. C. Greubel, Jun 22 2018
EXAMPLE
T27d = 1/q + 2*q^2 - q^5 + 3*q^11 - 2*q^14 + 3*q^17 + 4*q^20 + 4*q^26 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q*(eta[q^3]/eta[q^9])^4; T9b := A + 9*q^2/A; a:= CoefficientList[Series[(6*q^3 + (T9b /. {q -> q^3}) + O[q]^nmax)^(1/3), {q, 0, 300}], q]; Table[a[[n]], {n, 1, 120}][[1 ;; ;; 3]] (* G. C. Greubel, Jun 22 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
Terms a(8) onward added by G. C. Greubel, Jun 22 2018
STATUS
approved