34773

Appears in sequences

• Number of Dyck paths of length 2n with nondecreasing peaks.at n=13A048285
• Numbers n such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.at n=25A088066
• Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 6.at n=36A091774
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 0), (0, 1, 1), (1, -1, -1)}.at n=9A149904
• a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=1,a(2)=4.at n=40A154493
• Principal diagonal of the convolution array A213505.at n=8A213546
• Number of 0..n arrays of length 5 with each element differing from at least one neighbor by 1 or less.at n=25A221597
• Number of (n+2)X(4+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=17A254903
• a(n) = Sum_{k=1..floor(n/2)} k^2 * (n-k)^2.at n=17A337173
• a(n) = n * Sum_{d|n} sigma(d)^3 / d.at n=20A344043
• a(n) is the least triprime k such that k + n is the next triprime after k.at n=22A366673