23045

Appears in sequences

• Expansion of Product_{m>=1} (1+x^m)^3.at n=21A022568
• a(n) = n*(13*n^2 - 7)/6.at n=22A062025
• Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly two ways.at n=9A076455
• Half the number of n X n binary matrices differing in at most three positions between adjacent rows and at most three positions between adjacent columns.at n=3A140338
• Irregular triangle T(n,k) read by rows: number of orbits of size 2^k on Dyck n-paths.at n=37A175137
• Number of -7..7 arrays of n elements with adjacent element differences also in -7..7.at n=3A201041
• T(n,k)=Number of -k..k arrays of n elements with adjacent element differences also in -k..k.at n=48A201042
• Number of -n..n arrays of 4 elements with adjacent element differences also in -n..n.at n=6A201043
• Triangle defined by T(n,k) = Sum_{j>=0} C(j+k, k) * C((j+k)*k, n-k) / 2^(j+k+1), for n>=0, k = 0..n, as read by rows.at n=88A300280