18514

Appears in sequences

• Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=36A024827
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=13A031603
• Numerators of continued fraction convergents to sqrt(595).at n=9A042140
• Coefficient of q^1 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(2,1).at n=11A074084
• Antidiagonal sums of triangle A097094, where self-convolution forms A097096 (row sums of triangle A097094).at n=24A097097
• a(n) = n-th centered n-gonal number.at n=33A100119
• Increasing partial quotients in the continued fraction expansion of the prime constant (A051006).at n=11A102878
• Triangle read by rows: T(n,k) is the number of binary trees with n edges and jump-length equal to k (n >= 0, 0 <= k <= n-2).at n=48A127532
• a(n) = 529*n - 1.at n=34A158365
• Numbers m with C(2*m, m) + prime(m) prime, where C(2*m, m) = (2*m)!/(m!)^2.at n=45A236242
• Number of (n+2) X (2+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=17A252713
• Expansion of Product_{k>=1} 1/(1 - x^prime(k))^2.at n=40A298436
• Number of permutations of [n] whose lengths of increasing runs are distinct triangular numbers.at n=14A317446
• Number of compositions (ordered partitions) of n into at most 5 prime powers (including 1).at n=41A347775
• a(n) is the integer part of the area of a regular n-gon whose side lengths are n.at n=19A374296