545790

Appears in sequences

• G.f.: A(x) = Product_{n>=1} [ (1-x)^3*(1 + 3x + 6x^2 +...+ n(n+1)/2*x^(n-1)) ].at n=16A129356
• Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 3,1 4,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=8A155272
• The number of partial isometries (of an n-chain) of fix zero (fix of alpha = 0). Equivalently, the number of partial derangement isometries (of an n-chain).at n=17A183159
• G.f.: A(x) = exp( Sum_{n>=1} G_n(x^n)*x^n/n ) such that G_n(x^n) = Product_{k=0..n-1} A(u^k*x) where u is an n-th root of unity.at n=15A203254
• Products of 6 distinct primes that are sandwiched between twin prime numbers.at n=32A378097