48750

Appears in sequences

• Number of irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras.at n=8A001692
• Numbers k such that Sum_{d|k} tau(d)/d is an integer, where tau(x) = A000005(x).at n=7A068978
• a(n) = 60*n^2 + 180*n + 150.at n=26A069477
• Ordered m for which m = k^3*a*b*(a^4 - b^4) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity).at n=28A081779
• Third differences of fifth powers (A000584).at n=29A101096
• Related to enumeration of rooted catapolyoctagons (see Cyvin reference for precise definition).at n=12A121118
• Least number k having n representations as the sum of the minimal number of biquadrates A002377(k).at n=32A185673
• The consecutive squares of numbers multiplied by their next consecutive integer.at n=27A193608
• Number of (n+2) X 3 binary arrays avoiding patterns 001 and 101 in rows and columns.at n=22A202195
• Number of (w,x,y) with all terms in {0,...,n} and 2*max(w,x,y) > 3*min(w,x,y).at n=37A213393
• a(n) = (2*n+23)*n*(n-1), a coefficient appearing in the formula a(n)*Pi/324+n+1 giving the average number of regions into which n random planes divide the cube.at n=26A248598
• Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7.at n=21A252248
• Number of 2 X 2 planar subsets in an n X n X n cube.at n=26A270205
• a(n) = n * A276086(n).at n=26A324580
• Least common multiple of n and A276086(n).at n=26A328584
• Number of regular polygons that can be drawn with vertices on a centered hexagonal grid with side length n.at n=12A339483
• a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p^2 - p and p is the n-th prime.at n=10A355069
• Triangle read by rows: T(n, k) = n^k * Sum_{j=0..n} binomial(n - j, n - k) * Eulerian1(n, j).at n=18A372311