559104

Appears in sequences

• Triangle of coefficients in expansion of sinh^2(n*x) in powers of sinh(x).at n=39A082649
• a(n) = 2^(2n+1) * binomial(3n,n)/(2n+1).at n=5A098272
• Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - ChT(n, x^(1/2))^2, where ChT(n, x) is the n-th Chebyshev polynomial of the first kind, evaluated at x (0 <= k <= n).at n=51A123588
• Number of ternary Lyndon words with exactly five 1's.at n=10A124723
• a(n) = C(n+11, 11)*(n+6)*(-1)^(n+1)*512/3.at n=3A138334
• Number of defective 3-colorings of an n X 2 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.at n=7A229679
• T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.at n=37A229685
• T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.at n=43A229685
• Triangle read by rows: T(n, k) = binomial(n + k - 1, 2*k - 1) * 4^(k - 1) * n/k, 1 <= k <= n.at n=41A334009
• Inverse binomial transform of A317614.at n=12A346174
• Triangular array: row n gives the coefficients T(n,k) of powers x^(2k) in the series expansion of ((b^n + b^(-n))/2)^2, where b = x + sqrt(x^2 + 1).at n=51A373504