44372

Appears in sequences

• a(n) equals the square of the n-th partial sum added to twice the n-th partial sum of the squares, divided by a(n-1), for all n>1, with a(0)=1, a(1)=3.at n=8A088132
• Number of arrays of length n that are sums of 6 consecutive elements of length n+5 permutations of 0..n+4, and no two consecutive rises or falls in the latter permutation.at n=4A229716
• T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation.at n=49A229717
• Number of arrays of length 5 that are sums of n consecutive elements of length 5+n-1 permutations of 0..5+n-2, and no two consecutive rises or falls in the latter permutation.at n=5A229721
• Array read by antidiagonals: T(m,n) is the number of matchings in the stacked prism graph C_m X P_n.at n=37A287428