78476

Appears in sequences

• Number of isolated-pentagon fullerenes with 2n vertices (or carbon atoms).at n=35A086423
• Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 15.at n=5A154093
• Expansion of g.f.: 4^n*n!*(1-y)^(n+1)*f(x, y, m), where f(x, y, m) = 2^(m+1)*exp(2^m*t)/((1-y*exp(t))*(1 + (2^(m+1)-1)*exp(2^m*t))), and m = -2.at n=22A171694
• a(n) = n*(n+1)*(3*n^2+5*n+4)/12.at n=23A176060
• Number of 3 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=17A223839
• Total sum of block indices of the elements over all partitions of [n].at n=8A346772