30715

Appears in sequences

• Q-residue of the triangle p(n,k)=floor((n+1)/(n+k+2)/2), 0<=k<=n, where Q is the triangular array (t(i,j)) given by t(i,j)=1. (See Comments.)at n=9A193654
• Q-residue of the triangle p(n,k)=floor(1/2+(n+1)/(n+k+2)/2), 0<=k<=n, where Q is the triangular array (t(i,j)) given by t(i,j)=1. (See Comments.)at n=9A193655
• Number of (n+2) X (2+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=20A253019
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=14A283606
• "Erase or triple": list of the successive integers that produce the next "altitude" record (see the comments section).at n=12A300150
• Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+2,3).at n=44A344203
• Number of finite sequences of distinct integer partitions with total sum n.at n=13A358906
• a(n) = Sum_{j=1..n} Sum_{k=1..n} sigma(j*k).at n=14A372675