199316

Appears in sequences

• a(n) = 2*binomial(3*n, n) - Sum_{k=0..n} binomial(3*n, k).at n=8A047098
• Number of reachable arrangements of coins in the game Blet starting with 2n coins.at n=10A075273
• Enumeration of partial sums of 1 + [1,2] + [2,3] + [1,2] + [2,3] + ...at n=36A089640
• Expansion of f(x^3)/(1-x*f(x^3)), where f(x) is the g.f. of A001764, whose n-th term is binomial(3n,n)/(2n+1).at n=24A126042
• Sequence s_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).at n=14A129873
• Number A(n,k) of 3n-length k-ary words that can be built by repeatedly inserting triples of identical letters into the initially empty word; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=63A213028