%I #23 Nov 15 2020 03:45:23
%S 1,-2,-1,2,1,2,-2,2,-6,-4,5,2,4,-2,8,-16,-7,12,5,8,-8,16,-34,-18,24,
%T 10,18,-12,33,-68,-33,50,20,36,-28,60,-126,-64,89,36,62,-46,111,-228,
%U -111,160,65,112,-86,188,-390,-194,272,108,188,-136,322,-656,-318,454,181,310,-234,520
%N McKay-Thompson series of class 14b for Monster.
%H G. C. Greubel, <a href="/A058506/b058506.txt">Table of n, a(n) for n = -1..2500</a>
%H 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).
%H <a href="/index/Mat#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>
%F Expansion of q^(1/2)*(eta(q)/eta(q^7))^2 in powers of q. - _G. C. Greubel_, Jun 20 2018
%e T14b = 1/q - 2*q - q^3 + 2*q^5 + q^7 + 2*q^9 - 2*q^11 + 2*q^13 - 6*q^15 - ...
%t QP = QPochhammer; s = (QP[q]/QP[q^7])^2 + O[q]^80; CoefficientList[s, q] (* _Georg Fischer_, Nov 14 2020 *)
%o (PARI) q='q+O('q^70); Vec((eta(q)/eta(q^7))^2) \\ _G. C. Greubel_, Jun 20 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K sign
%O -1,2
%A _N. J. A. Sloane_, Nov 27 2000
%E Terms a(12) onward added by _G. C. Greubel_, Jun 20 2018
|