541310
domain: N
Appears in sequences
- 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=42A007441
- A transform of C(n,2).at n=11A082149
- Composite numbers such that the cube root of the sum of cubes of their prime factors is an integer.at n=19A134608
- Numbers such that the cube root of the sum of cubes of their prime factors is a nonprime integer.at n=16A134609
- E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n+k)!, as a square table of coefficients T(n,k) read by antidiagonals.at n=68A322620
- E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n+k)!, as a square table of coefficients T(n,k) read by antidiagonals.at n=75A322620
- E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2*n+1} T(n,k) * x^(2*n+1-k)*y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.at n=32A322622
- E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2*n+1} T(n,k) * x^(2*n+1-k)*y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.at n=39A322622