45801

Appears in sequences

• Number of distinct lines through the origin in the n-dimensional lattice of side length 5.at n=6A090021
• Number of distinct lines through the origin in 6-dimensional cube of side length n.at n=5A090028
• Triangle read by rows: T(n,k) = number of distinct lines through the origin in the n-dimensional cubic lattice of side length k with one corner at the origin.at n=72A090030
• Number of arrangements of n+1 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=4A188349
• Number of arrangements of n+1 numbers x(i) in -5..5 with the sum of x(i)*x(i+1) equal to zero.at n=4A188354
• T(n,k)=Number of arrangements of n+1 numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero.at n=40A188358
• Number of arrangements of 6 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=4A188361
• Array read by antidiagonals: T(n,k) = number of lattice paths from (0,0) to (n,k) using steps (1,0), (0,1), (1,1), (-1,1) and whose points lie entirely in the integer rectangle of lattice points {(i, j): 0 <= i <= n, 0 <= j <= k}.at n=60A232968
• Number of lattice paths from (0,0) to (n,n) using steps (1,0), (0,1), (1,1), (-1,1) and whose points lie entirely in the integer square of lattice points {(i,j): 0 <= i,j <= n}.at n=5A339654
• a(n) = Sum_{1 <= x_1, x_2, x_3, x_4, x_5 <= n} n/gcd(x_1, x_2, x_3, x_4, x_5, n).at n=5A371878
• Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = Sum_{1 <= x_1, x_2, ..., x_k <= n} n/gcd(x_1, x_2, ..., x_k, n).at n=50A372968