-735
domain: Z
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=46A001484
- Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=24A008275
- Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.at n=24A008276
- Expansion of e.g.f. sinh(log(1+x)*cosh(x)).at n=6A009580
- Expansion of e.g.f.: cos(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...at n=7A012903
- Expansion of e.g.f. sinh(arctan(x) + log(x+1)).at n=6A012965
- Expansion of e.g.f. sinh(tanh(x) + log(x+1)).at n=6A013123
- Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=36A030181
- 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=17A037452
- Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n.at n=32A048994
- McKay-Thompson series of class 7B for the Monster group.at n=36A052240
- Triangle of Stirling numbers of 1st kind, S(n, n-k), n >= 0, 0 <= k <= n.at n=31A054654
- Exponential reciprocal of A055924.at n=24A055925
- McKay-Thompson series of class 18f for the Monster group.at n=31A058544
- G.f. is 1/F, where x*F is g.f. for Fibonacci word (A003849).at n=53A080845
- Triangle, read by rows, where T(n,k) = A008275(k+1,n-k+1) are Stirling numbers of the first kind.at n=41A104416
- Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=38A110668
- Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=39A110668
- Triangle, read by rows, equal to the matrix inverse of P=A113370.at n=24A114156
- Infinite square array read by antidiagonals: Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2,2k-2), m*Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1).at n=74A127080