-479001600
domain: Z
Appears in sequences
- Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(2,n).at n=11A127067
- G.f.: Product_{n>=1} (1 + a(n)*x^n/n!) = exp(x).at n=12A137852
- Write (1+1/x)*log(1+x) = Sum c(n)*x^n; then a(n) = (n+1)!*c(n).at n=13A155456
- Table T(n,m) read by rows: the coefficient of [t^n x^m] of 2*n!*(n+2)!*exp(x*t)*( t*(1-exp(t))-exp(t) ) / (1-exp(t) ), 0<=m<=n+1.at n=68A176990
- (2n+1)-th derivative of arccot(x) at x=0.at n=6A186246
- E.g.f.: Product_{m>0} (1-x^m).at n=12A293140
- Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + tanh(x).at n=12A353779
- Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + tanh(x).at n=12A353912
- Product_{n>=1} (1 + x^n/n!)^a(n) = exp(x).at n=12A354016
- Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + tanh(x).at n=12A354066
- Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + tanh(x).at n=12A354176