307833

Appears in sequences

• Total number of occurrences of 3 in the (signed) displacement sets of all permutations of [n+3] divided by 3!.at n=7A324353
• Total number of occurrences of k in the (signed) displacement sets of all permutations of [n+k] divided by k!; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=62A324362
• G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^5*A(x)^3).at n=22A365735
• Expansion of 1/(1 - 9*x/(1-x))^(5/3).at n=5A377235
• a(n) = Sum_{k=0..n} 9^k * binomial(n/3+k-1,k) * binomial(n-1,n-k).at n=5A378552