82301

Properties

Appears in sequences

• Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 2,2 3,1 4,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=8A155323
• Prime partial sums of safe primes A005385.at n=8A172036
• Primes of the form 100p + 1, where p is prime.at n=24A180469
• Number of (1,-1)-returns to the horizontal axis in all weighted lattice paths in L_n. The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=14A182897
• Prime numbersat n=8048