-496
domain: Z
Appears in sequences
- a(n) = a(n-1)*a(n-2) - 1.at n=9A001054
- Expansion of e.g.f. log(1 + tan(x)).at n=6A003707
- Expansion of e.g.f. (1 - x)^x.at n=8A007114
- Expansion of e.g.f. (1+x)^(1-x).at n=8A007120
- tanh(arctan(arctanh(x)))=x-2/3!*x^3+24/5!*x^5-496/7!*x^7+24192/9!*x^9...at n=3A012236
- a(n) = 4^n-n^9.at n=2A024045
- Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=16A037452
- Matrix inverse of triangle A055363(n+2,k).at n=45A055370
- Column 1 of triangle A055370.at n=9A055371
- Expansion of AGM(1,1-8x) (where AGM denotes the arithmetic-geometric mean).at n=5A060691
- Alternating sum of squares to n.at n=30A089594
- Numerators of coefficients in expansion of x^-2*(1-exp(-2*x))^2.at n=9A104042
- A characteristic triangle for the Euler totient function (A000010).at n=23A110032
- a(n) = sum( (-1)^(r+1)*(n-r)*r, r = 1..floor(n/2) ).at n=62A110422
- McKay-Thompson series of class 8c for the Monster group.at n=7A112145
- McKay-Thompson series of class 16f for the Monster group.at n=39A112153
- McKay-Thompson series of class 16g for the Monster group.at n=39A112154
- Triangle read by rows. Let g(n) = n if n is a prime, otherwise g(n) = 1. Let p(0) = 1, p(n) = g(n)*p(n-1). Row n gives coefficients of Product_{j=0..n} (x - p(j)), with row 0 = {1}.at n=46A118686
- Expansion of c(q) * c(q^6) / c(q^2)^2 in powers of q where c() is a cubic AGM theta function.at n=27A122830
- Expansion of q*psi(q^9)/psi(q) in powers of q.at n=27A124243