1058148

Appears in sequences

• a(n) = 3*binomial(2n-1,n).at n=10A003409
• Central elements of the (1,2)-Pascal triangle A029635.at n=11A029651
• a(0) = 1; for n > 0, a(n) = binomial(n, floor(n/2)) + binomial(n-1, floor(n/2)).at n=22A050168
• Expansion of (1+x)/(1-x)^12.at n=11A057788
• a(n) = 14*binomial(n,8).at n=19A088625
• Number of nX1 0..2 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=31A200770
• Sixth partial sums of cubes (A000578).at n=12A254469
• a(n) = 21*binomial(n+6,7).at n=13A266733
• Triangle read by rows: T(n,k) = binomial(2*n+1, 2*k+1)*binomial(2*n-2*k, n-k)/(n+1-k) for 0 <= k <= n.at n=50A281000
• Expansion of (Sum_{k>=0} x^(k^4))^19.at n=37A282288
• Irregular triangle T giving the coefficients of x^n = x^{2*e2 + 3*e3} of (1 + x^2 + x^3)^n, with the pair of nonnegative numbers [e2, e3] listed in row n of A321201, for n >= 2.at n=36A321203
• Triangle read by rows T(n, k) = binomial(2*n, k) * binomial(3*n - k, 2*n).at n=30A357613