A212301 Coefficients of the twisted K3 elliptic genus attached to the conjugacy class 1A in the Mathieu group M_24.
-2, 90, 462, 1540, 4554, 11592, 27830, 61686, 131100, 265650, 521136, 988770, 1830248, 3303630, 5844762, 10139734, 17301060, 29051484, 48106430, 78599556, 126894174, 202537080, 319927608, 500376870, 775492564, 1191453912, 1815754710, 2745870180, 4122417420, 6146311620
Offset: 0
Keywords
Links
- Miranda C. N. Cheng and John F. R. Duncan, On Rademacher sums, the largest Mathieu group, and the holographic modularity of moonshine, arXiv:1110.3859 [math.RT], 2011.
- Miranda C. N. Cheng and John F. R. Duncan, The largest Mathieu group and (mock) automorphic forms, arXiv:1201.4140 [math.RT], 2012.
- Miranda C. N. Cheng, John F. R. Duncan and Jeffrey A. Harvey, Umbral Moonshine, arXiv:1204.2779 [math.RT], 2012-2013. See Table 20.
- Tohru Eguchi and Kazuhiro Hikami, Note on Twisted Elliptic Genus of K3 Surface, arXiv:1008.4924 [hep-th], 2010.
- Tsuyoshi Miezaki, On the Mathieu mock theta function, Proc. Japan Acad. Ser. A Math. Sci., Volume 88, Number 2 (2012), 28-30.
Programs
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PARI
E2(q,prec)=1-24*sum(k=1,prec,k*q^k/(1-q^k)) F22(q,prec)=sum(s=1,min(prec-1,sqrt(2*prec)-1/2),my(t=0);forstep(r=s+1,2*prec\s,2,t+=(-1)^r*q^(r*s/2));s*t) list(lim)=my(q='q+O('q^lim));Vec((-2*E2(q,lim)+48*F22(q,lim))/eta(q)^3)
Formula
a(n) = 2*A169717(n).
Comments