53312

Appears in sequences

• Expansion of (1+x*C^4)*C, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=9A070859
• Triangle T(n,k) read by rows: number of k X k symmetric (0,1)-matrices with exactly n entries equal to 1 and no zero rows or columns.at n=63A135589
• Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k descents (n>=1; 1<=k<2n-1).at n=53A161127
• Inverse binomial transform of A143025, assuming offset zero there.at n=14A173435
• Number of 3-turn queen's tours on an n X n board summed over all starting positions.at n=8A186966
• a(n) = n^2*(n+1)*(3*n+1)/4.at n=16A213827
• Sum of the divisors of n^3 - 1.at n=27A234860
• Number of (n+2)X(5+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=5A253041
• Number of (n+2)X(6+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=4A253042
• a(n) = (7*(csc(2*Pi/7))^2)^n + (7*(csc(4*Pi/7))^2)^n + (7*(csc(8*Pi/7))^2)^n.at n=3A287396