732160

Appears in sequences

• a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 2. Also a(n) = (2^n)*C(n-1), where C = A000108 (Catalan numbers).at n=8A025225
• Tenth unsigned column of Lanczos triangle A053125 (decreasing powers).at n=3A054328
• A subdiagonal of number array A082137.at n=7A082144
• a(n) = n^2*(n+1)*(2*n+1)/3.at n=31A098077
• G.f. A(x) satisfies: 3^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (3+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=18A100225
• Expansion of (sqrt(1-8*x^2)+8*x^2+2*x-1)/(2*x*sqrt(1-8*x^2)).at n=17A103973
• A sequence related to Catalan numbers A000108.at n=9A115125
• Number of ways of getting a royal flush, other straight flush, four of a kind, full house, other flush, other straight, three of a kind, two pair, a pair, no pair in 6-card poker.at n=6A185241
• Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length saturated chains in the poset of Dyck paths of semilength n ordered by inclusion.at n=39A193536
• a(n) = 2^(n-3)*binomial(n,4).at n=13A213432
• Number of set partitions of [n] into exactly ten blocks where sizes of distinct blocks are coprime.at n=6A280888