-678

Appears in sequences

• McKay-Thompson series of class 15B for Monster.at n=32A058509
• McKay-Thompson series of class 20a for Monster.at n=12A058556
• a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=26A071167
• McKay-Thompson series of class 24f for the Monster group with a(0) = -2.at n=32A093067
• Expansion of ((eta(q)eta(q^15))/(eta(q^3)eta(q^5)))^3 in powers of q.at n=25A095123
• Net increase in number of ON toothpicks at generation n in A151885.at n=49A151888
• Triangle T(n, k) = 1 - (-1)^n*(n! + 1) + A176013(n, k) + A176013(n, n-k+1) read by rows.at n=12A176021
• G.f.: real part of 1/(1 - i*x - i*x^2) where i=sqrt(-1).at n=19A201837
• Expansion of Product_{i>=1, j>=1, k>=1} (1 - x^(i*j*k))/(1 + x^(i*j*k)).at n=16A321241
• G.f. satisfies: A(x) = (1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*... .at n=62A321317
• G.f.: Sum_{n>=0} x^n * (x^n + i)^n / (1 + i*x^(n+1))^(n+1), where i^2 = -1.at n=50A323675
• a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(2*k,k) * binomial(n*k,n-k).at n=6A361835