50049

Appears in sequences

• Centered 4-dimensional orthoplex numbers (crystal ball sequence for 4-dimensional cubic lattice).at n=16A001846
• Number of nodes in virtual, "optimal", chordal graphs of diameter 4 and degree n+1.at n=30A067956
• V(n,n^2), where V is the number of integer points in an n-dimensional sphere of Lee-radius n^2 centered at the origin.at n=3A181675
• Numbers n such that n+/-2 and n^2+/-2 are all primes.at n=23A189051
• Number of -n..n arrays x(0..3) of 4 elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=31A199899
• Numbers whose square is a chiliagonal (or 1000-gonal) number.at n=1A271115
• a(n) = binomial(5*n, n)*hypergeom([-4*n, -n], [-5*n], -1).at n=4A331329
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} binomial(k*n,n-j) * binomial(k*n+j,j).at n=40A341470
• Number of polygon edges formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts.at n=9A344896
• Number of distinct bracelets of length n (A000029) that eventually result in a cycle with length 2 or greater when used as the starting conditions for a rule 18 cellular automaton in a cyclic universe of circumference n.at n=20A354464