-148
domain: Z
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=6A001486
- E.g.f. tanh(sin(x)*exp(x)).at n=5A009799
- Discriminants of quadratic number fields Q(sqrt -n) for n squarefree.at n=23A033197
- McKay-Thompson series of class 20e for Monster.at n=47A058560
- McKay-Thompson series of class 40b for Monster.at n=37A058666
- Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 5.at n=25A060024
- Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=10A101033
- Expansion of 2 * arccot(cos(x)).at n=3A101923
- Matrix inverse square-root of triangle A105615.at n=16A105620
- Riordan array (1-u, u) where u=(-1 + sqrt(1+8*x))/4.at n=17A110292
- Expansion of (-1-8*x-12*x^2-4*x^3+4*x^4) / ((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).at n=4A110684
- McKay-Thompson series of class 16f for the Monster group.at n=27A112153
- McKay-Thompson series of class 16g for the Monster group.at n=27A112154
- McKay-Thompson series of class 27e for the Monster group.at n=46A112168
- Row sums of number triangle A112334.at n=50A112335
- Expansion of q^(-1/3) * b(q) * c(q) * b(q^2) / 3 in powers of q where b(), c() are cubic AGM theta functions.at n=50A116418
- Expansion of chi(-q)* chi(-q^2)* chi(-q^9)/( chi(-q^3)* chi(q^9)) in powers of q where chi() is a Ramanujan theta function.at n=77A128144
- Coefficients of polynomials B(x,n) = ((1+a+b)*x - c)*B(x,n-1) - a*b*B(x,n-2) where B(x,0) = 1, B(x,1) = x, a=-b, b=1, c=1.at n=62A136531
- Expansion of phi(-q) / phi(-q^5) in powers of q where phi() is a Ramanujan theta function.at n=41A138527
- Expansion of psi(-q^3) / f(q) where psi(), f() are Ramanujan theta functions.at n=13A139135