18996

Appears in sequences

• Number of n-node rooted trees with nodes of 2 colors.at n=7A038055
• Positions of the incrementally largest terms in the continued fraction for Khinchin's constant.at n=8A054870
• Expansion of theta_3(q) / theta_3(q^2) in powers of q.at n=41A080015
• G.f.: Product_{n >= 0} (1+x^(2n+1))/(1-x^(2n+1)).at n=41A080054
• Records in the sequence A024573 defined by [1/{n*e}], {x} := x - [x].at n=12A101262
• Triangle T, read by rows, where antidiagonal k of T = antidiagonal k-1 of T^k (after appending '1' for even k) for k>0, with T(n,n)=1 for n>=0.at n=21A132620
• Column 0 of triangle A132620.at n=6A132621
• Numbers k such that sum of digits of k = sum of digits of anti-divisors of k.at n=12A213239
• Records in A233208.at n=11A233209
• Triangle T(n,t) read by rows: number of rooted forests with n 2-colored nodes and t rooted trees.at n=28A271878
• Number of n X 3 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=5A300968
• Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=2A300971
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=30A300973
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=33A300973
• Number of ways to split a strict integer partition of n into contiguous subsequences all having different sums.at n=40A336132
• Triangle read by rows: T(n,k) is the number of (unlabeled) connected graphs with n nodes such that k is the maximum number that can be reached when the stepping stone puzzle of A337663 is played on the graph, 1 <= k <= n.at n=40A350785
• E.g.f. satisfies A(x) = (exp(x * exp(A(x))) - 1) * exp(A(x)).at n=5A357346
• E.g.f. satisfies A(x) = 1/(1 - A(x)^2 * (exp(x) - 1))^2.at n=4A377489
• Array A(T,k) read down antidiagonals: Number of typed decorated trees of cardinality T on k vertices with D=2 decorations.at n=28A384867