35196

Appears in sequences

• Number of nonroot nodes of outdegree 2 in all hex trees with n edges.at n=8A126185
• a(0) = a(1) = 1. a(n) = a(n-1) + a(n - b(n)), where b(n) is largest prime dividing n.at n=41A137809
• Triangle read by rows: number of idempotents of rank k in partial Brauer monoid PB_n.at n=30A256039
• Numbers k such that (11*10^k - 113) / 3 is prime.at n=23A280557
• Number of 2 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=16A281206
• Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way.at n=37A308234
• Number of subsets of {2..n} such that the product of the elements is a perfect power.at n=25A339555
• G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} ((1 + x^j)/(1 - x^j))^2.at n=26A376854
• Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + Sum_{j=0..k} A(n-1,j)*A(k-j,0) with A(0,k) = 1.at n=37A392095