85500

Appears in sequences

• Consider numbers x,y,z such that UnitarySigma(x) = UnitarySigma(y) = UnitarySigma(z) = 4*(x*y*z)^(1/2)/( x^(1/2) + y^(1/2) + z^(1/2)), x<=y<=z . Sequence gives x .at n=5A144949
• Consider numbers x,y,z such that UnitarySigma(x) = UnitarySigma(y) = UnitarySigma(z) = 4*(x*y*z)^(1/2)/( x^(1/2) + y^(1/2) + z^(1/2)), x<=y<=z . Sequence gives y.at n=5A144950
• Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1).at n=22A191317
• Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two or three adjacent elements summing to zero.at n=9A200432
• Expansion of x*log'(((1-sqrt(1-4*x))/2-sqrt(((-sqrt(1-4*x)-11)*(1-sqrt(1-4*x)))/4+1)+1)/4).at n=7A243644
• Numbers k such that (28*10^k + 149)/3 is prime.at n=23A293281
• Number of nX5 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.at n=5A296831
• Number of nX6 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.at n=4A296832
• T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.at n=49A296834
• T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.at n=50A296834
• Triangle read by rows: T(n,k) is the number of oriented colorings of the edges of a regular n-dimensional simplex using exactly k colors. Row n has (n+1)*n/2 columns.at n=14A327087
• Triangle read by rows: T(n,k) is the number of oriented colorings of the faces (and peaks) of a regular n-dimensional simplex using exactly k colors. Row n has C(n+1,3) columns.at n=9A338113
• Numbers that are both exponential and nonexponential abundant numbers.at n=29A348627
• a(n) = Sum_{d|n} d^d * binomial(n/d,d).at n=35A376014