61830

Appears in sequences

• G.f.: 1/Product_{k>=1} (1-prime(k)*x^prime(k)).at n=23A002098
• a(n)=Sum( Product p_i, {Sum p_i=prime(n)}, p_i is prime ).at n=8A103275
• Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly 3 local maxima.at n=4A159717
• Number of n X 3 nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3.at n=7A202919
• T(n,k)=Number of nXk nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3.at n=47A202924
• G.f. A(x) satisfies: 1 = Sum_{n>=0} ((1+x)^(5*n) - A(x))^n.at n=4A321605
• Triangle read by rows: T(n,k) is the number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly k local maxima.at n=18A334778
• E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^2) + x*A(x)^3.at n=7A379877