51702

Appears in sequences

• Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n).at n=61A055105
• Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=50A055106
• Triangle T(k,n) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=49A055107
• a(n) = A194588(n) - A005043(n); complementary Riordan numbers.at n=13A194589
• Numbers k such that the last 9 digits of the k-th Lucas number are 1-9 pandigital.at n=12A216488
• Expansion of Product_{k>=0} ((1+x^(4*k+1))/(1-x^(4*k+1)))^3.at n=22A261652
• a(1) = 1; a(n) = Sum_{k=1..n-1} ceiling(n/k) * a(k).at n=10A333494
• G.f. A(x) satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^3).at n=6A365193