378378

Appears in sequences

• a(n) = 21*(n+1)*binomial(n+6,9).at n=5A027821
• a(n) = 42*(n+1)*binomial(n+6,10).at n=4A027822
• GCD of n! and the reverse of n!.at n=19A071678
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, 1), (0, 1, 1), (1, -1, -1)}.at n=11A149873
• Triangle T(n,k) = binomial(n,k)*binomial(n+k+1,n+1) read by rows, 0 <= k <= n.at n=50A178301
• Number of (n+2) X 7 binary arrays avoiding patterns 001 and 101 in rows and columns.at n=6A202199
• Number of (n+2) X 9 binary arrays avoiding patterns 001 and 101 in rows and columns.at n=4A202201
• Number of Dyck paths of semilength n such that each positive level has exactly ten peaks.at n=25A288326
• Coefficients T(n,k) of x^n*y^(n-k)*z^k in function A = A(x,y,z) such that A = 1 + x*B*C, B = 1 + y*C*A, and C = 1 + z*A*B, as a triangle read by rows.at n=48A323324
• Coefficients T(n,k) of x^n*y^(n-k)*z^k in function A = A(x,y,z) such that A = 1 + x*B*C, B = 1 + y*C*A, and C = 1 + z*A*B, as a triangle read by rows.at n=51A323324
• Expansion of g.f. 2-hypergeom([3/2,7/2],[-1/2],4*x).at n=4A382874
• a(n) = (1/2) * (3*n)! / n!^3 for n > 0, a(0) = 1.at n=5A386876