43252

Appears in sequences

• Form array in which n-th row is obtained by expanding (1+x+x^2)^n and taking the 3rd column from the center.at n=9A014532
• Expansion of ( 1-x ) / ( 1-x-x^2-x^4+x^5 ).at n=23A052989
• Tenth column of trinomial coefficients.at n=7A064054
• Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having exactly k UUU's (triple rises) where U=(1,1). Rows have 1,1,1,2,3,4,5,... entries, respectively.at n=58A092107
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).at n=39A291080
• Number of length n - 1 ordered set partitions of {1..n} where no element of any block is greater than any element of a non-adjacent consecutive block.at n=17A332724
• Triangle T(n,m) read by rows: Sum_{k=1..m} binomial(2*n, n+k)*d(k), m<=n, with d(k)=A000005(k).at n=33A351145
• Number of regions among all distinct circles that can be constructed from an n X n square grid of points using only a compass.at n=3A359933