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A058773 McKay-Thompson series of class 105A for Monster. 1

%I #17 Jul 10 2018 09:49:18

%S 1,0,1,1,0,0,1,1,1,1,2,1,3,2,2,3,3,4,5,3,4,6,6,6,8,7,8,10,10,10,14,13,

%T 14,17,16,18,22,22,25,26,28,29,37,35,38,44,44,48,55,54,60,67,71,74,83,

%U 85,92,103,107,112,127,128,140,154,157,168,188,192,206

%N McKay-Thompson series of class 105A for Monster.

%D D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

%H Vaclav Kotesovec, <a href="/A058773/b058773.txt">Table of n, a(n) for n = -1..3200</a> (computed by David A. Madore)

%H D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Commun. Algebra 22, No. 13, 5175-5193 (1994).

%H David A. Madore, <a href="http://mathforum.org/kb/thread.jspa?forumID=253&amp;threadID=1602206&amp;messageID=5836094">Coefficients of Moonshine (McKay-Thompson) series</a>, The Math Forum

%H <a href="/index/Mat#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>

%F a(n) ~ exp(4*Pi*sqrt(n/105)) / (sqrt(2) * 105^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Jul 10 2018

%e T105A = 1/q + q + q^2 + q^5 + q^6 + q^7 + q^8 + 2*q^9 + q^10 + 3*q^11 + 2*q^12 + ...

%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.

%K nonn

%O -1,11

%A _N. J. A. Sloane_, Nov 27 2000

%E More terms from _Michel Marcus_, Feb 19 2014

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)