34658

Appears in sequences

• a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=38A010014
• a(n) = 36*n^2 + 2*n.at n=30A158064
• Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k returns to the horizontal axis (both from above and below). 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=41A182898
• Number of partitions of n where the difference between consecutive parts is at most 6.at n=42A238866
• Number of gap-free Carlitz compositions of n.at n=21A374726