496860

Appears in sequences

• a(n) = binomial(n+5,5) * binomial(n+5,4)/(n+5).at n=11A006857
• a(n) = (n+1)^2*(n+2)^2*(n+3)^2*(n+4)/144.at n=11A108647
• Number of 2 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 2,11,n can be permuted, see formula.at n=4A140934
• Number of 4 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,11,n can be permuted, see formula.at n=2A140936
• Number of n X 5 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=12A208139
• Triangle of numerators of the coefficients t(n,k) in the formula B(2n) = -sum_{k=1..n-1} t(n,k)*B(2k)*B(2n-2k), where the B() are the even-indexed Bernoulli numbers.at n=26A228969
• Consider coefficients U(m,L,k) defined by the identity Sum_{k=1..L} Sum_{j=0..m} A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = Sum_{k=0..m} (-1)^(m-k) * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 3-column table read by rows, where the n-th row lists coefficients U(2,n,k) for k = 0, 1, 2; n >= 1.at n=37A316349
• Expansion of 60*x*(1 + 4*x + x^2) / (1 - x)^5.at n=12A316458
• Triangle read by rows: T(n,k) = generalized binomial coefficients (n,k)_11 (n >= 0, 0 <= k <= n).at n=23A342890
• Triangle read by rows: T(n,k) = generalized binomial coefficients (n,k)_11 (n >= 0, 0 <= k <= n).at n=25A342890
• a(n) = C(n, Q(n+3, 4)-1)*C(n, Q(n+1, 4)) + C(n, Q(3*n+1, 4))*C(n, Q(3*n+3, 4)) where C = binomial and Q(x, y) = floor(x/y).at n=14A380121