36568

Appears in sequences

• a(n) = n*(5*n^2 - 2)/3.at n=28A004466
• Expansion of Product_{m>=1} (1-m*q^m)^-14.at n=5A022738
• 9th binomial transform of the periodic sequence (1,10,1,1,10,1...).at n=4A081036
• Number of LEGO towers, one piece per floor, where every floor is perpendicular to the one below it (so we have a kind of 3-dimensional zigzag pattern).at n=10A082679
• a(n)=numerator of the probability that (x-y)/(x+y)+(y-z)/(y+z)+(z-u)/(z+u)+ (u-x)/(u+x)>0, assuming that each random quadruple of integers (x,y,z,u), with a<=x,y,z,u<=n, is equally likely.at n=16A106199
• Expansion of (2/(3*sqrt(1-4*z)-1+4*z))*((1-sqrt(1-4*z))/(2*z))^k with k=5.at n=7A172062
• Number of line segments connecting exactly 5 points in an n x n grid of points.at n=36A177721
• Number of 0..3 arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0.at n=9A221678
• Number of length 4+1 0..n arrays with the sum of the cubes of adjacent differences multiplied by some arrangement of +-1 equal to zero.at n=16A250231
• Number of length 2+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=22A251429
• Number of integer partitions of n that are not pairwise coprime, where a singleton is not coprime unless it is (1).at n=40A335240