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A232988
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Numerators of coefficients in q-expansion of Sum_{n = -oo,oo, n != 0} (((-1)^(n-1)/(2*n^2))*(sin(n*Pi/3)+sin(2*n*Pi/3))/(1-q^n))/sqrt(3), excluding the constant term.
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2
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0, 1, 1, 1, 1, 24, 1, 50, 1, 1, 24, 120, 1, 170, 50, 24, 1, 288, 1, 362, 24, 50, 120, 528, 1, 601, 170, 1, 50, 840, 24, 962, 1, 120, 288, 48, 1, 1370, 362, 170, 24, 1680, 50, 1850, 120, 24, 528, 2208, 1, 2451, 601, 288, 170, 2808, 1, 576, 50, 362, 840, 3480, 24, 3722, 962, 50, 1, 816, 120, 4490, 288, 528, 48
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OFFSET
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0,6
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LINKS
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EXAMPLE
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q+q^2+q^3+q^4+(24/25)*q^5+q^6+(50/49)*q^7+q^8+q^9+(24/25)*q^10+(120/121)*q^11+q^12+(170/169)*q^13+...
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MAPLE
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M:=100;
t1:=add( ((-1)^(n-1)/(2*n^2))*(sin(n*Pi/3)+sin(2*n*Pi/3))/(1-q^n), n=1..M)
+ add( ((-1)^(n-1)/(2*n^2))*(sin(n*Pi/3)+sin(2*n*Pi/3))/(1-q^n), n=-M..-1);
t2:=series(t1, q, M);
t3:=series((t2-coeff(t2, q, 0))/sqrt(3), q, M);
t4:=seriestolist(t3);
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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