27314

Appears in sequences

• Convolution of Catalan numbers A000108 with A038845.at n=5A042941
• A triangle related to A000108 (Catalan) and A000302 (powers of 4).at n=39A046527
• Interprimes which are of the form s*prime, s=14.at n=36A075289
• a(n) = K_5(n) = Sum_{k>=0} A090285(5,k)*2^k*binomial(n,k). a(n) = 2*(2*n^5+45*n^4+360*n^3+1215*n^2+1528*n+315)/15.at n=6A090297
• Given n, let S denote the set of numbers c_1*c_2*...*c_n where 1<=c_1<=c_2<=...<=c_n<=n; a(n) = number of members of S that have a unique representation of this form.at n=12A160375
• Numbers n such that (n+1)*10^n - 1 is prime.at n=13A174352
• Number of length 2+2 0..n arrays with the medians of every three consecutive terms nondecreasing.at n=12A250141
• Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=18A254899
• Number of integers in n-th generation of tree T(-2/3) defined in Comments.at n=36A274150
• Relative of Hofstadter Q-sequence: a(n) = max(0, n+27298) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.at n=20A283888
• G.f. A(x) satisfies A(x) = (1 + x / (1 - x*A(x))^2)^2.at n=8A365120
• a(n) = Sum_{k=0..n} binomial(3*n+1,k) * binomial(2*n-k-1,n-k).at n=5A386937