80724

Appears in sequences

• Expansion of Product_{m>=1} (1 + q^m)^(-8).at n=16A007259
• Expansion of ((theta_2)^4 + (theta_3)^4) / eta(z/2)^4.at n=8A014705
• Number of ways of pairing odd numbers in the range 1 to n with even numbers in the range n+1 to 2n such that each pair sums to a prime.at n=22A071058
• Expansion of (1+t^2+4*t^3+2*t^4+t^5+3*t^6)/((1-t)^2*(1-t^2)*(1-t^3)^2).at n=40A100779
• McKay-Thompson series of class 12D for the Monster group.at n=16A101127
• Area A of the triangles such that A, the sides and one of the altitudes are four consecutive integers of an arithmetic progression d.at n=30A210645
• Expansion of (phi(x) / f(-x^4))^4 in powers of x where phi(), f() are Ramanujan theta functions.at n=32A227175
• Lower Pythagorean twins.at n=31A228876
• Number of permutations p of [n] such that in 0p the largest up-jump equals eight and no down-jump is larger than 2.at n=3A321115
• Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 + x^3/6*exp(x)) ).at n=9A371021
• Expansion of e.g.f. 1/(1 - x^2 * exp(x))^2.at n=7A377531