-684

Appears in sequences

• Expansion of eta(q^2)^12 / theta_3(q)^3 in powers of q.at n=42A029769
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=55A068762
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=39A074170
• a(1) = 4; then alternately add -4 and multiply by -2.at n=19A096406
• a(n) = -n^2 - n + 72.at n=27A110678
• Expansion of (eta(q)^3*eta(q^10)^6)/(eta(q^2)^2*eta(q^5)^7) in powers of q.at n=21A113977
• Expansion of q^(-1) * (phi(q) / phi(q^9) - 1) / 2 in powers of q^3 where phi() is a Ramanujan theta function.at n=39A128111
• Expansion of (chi(-x) * chi(-x^19))^2 in powers of x where chi() is a Ramanujan theta function.at n=33A134005
• Expansion of eta(q)^2 / (eta(q^2) * eta(q^4)^6) in powers of q.at n=17A134414
• a(n) = A140944(n+1) - 3*A140944(n).at n=47A140950
• Numerator of Hermite(n, 3/5).at n=3A158965
• Expansion of c(q^2)^2 / (c(q) * c(q^3)) in powers of q where c() is a cubic AGM theta function.at n=59A182034
• Expansion of (1/q) * ((chi(q^3) * chi(-q^6)) / (chi(q) * chi(-q^2)))^4 in powers of q where chi() is a Ramanujan theta function.at n=7A193522
• Expansion of (1/q) * chi(-q) * chi(-q^3) * chi(-q^6)^4 / chi(q)^4 in powers of q where chi() is a Ramanujan theta function.at n=7A193557
• Expansion of (chi(-x) / chi^3(-x^3))^2 in powers of x where chi() is a Ramanujan theta function.at n=19A216046
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood.at n=15A270983
• Expansion of r(q)^3 / r(q^3) in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=21A285628
• G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = Sum_{n=-oo..+oo} (x - q^n)^n.at n=149A292929
• G.f.: Re(1/(1 + i*x/(1 + i*x^2/(1 + i*x^3/(1 + i*x^4/(1 + i*x^5/(1 + ...))))))), a continued fraction, where i is the imaginary unit.at n=31A293268
• Row 3 in rectangular array A292929.at n=13A294066