62016
domain: N
Appears in sequences
- a(n) = 8*binomial(2*n+1,n-3)/(n+5).at n=7A003518
- Fibonacci sequence beginning 0, 24.at n=18A022358
- a(n) = (n+1)*binomial(n+4, 4).at n=15A027800
- T(2n+4,n), array T as in A055794.at n=14A055797
- Eighth column of Catalan triangle A009766.at n=7A064061
- Seventh column (m=6) of (1,3)-Pascal triangle A095660.at n=14A095662
- Maximal number of 165432 patterns in a permutation of 1,2,...,n.at n=23A100356
- A number triangle of lattice walks.at n=47A107842
- If X_1,...,X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 4-subsets of X containing none of X_i, (i=1,...,n).at n=15A130810
- a(n) = binomial(n+2,3)*4^3.at n=16A141478
- a(n) = floor(phi^n/n), where phi = golden ratio = (1+sqrt(5))/2.at n=29A172128
- Central coefficients T(2n,n) of the Catalan triangle A033184.at n=7A174687
- Expansion of (8+6*x)/(1-x)^5.at n=16A190048
- a(n) = (n-3)*(n-2)*(n-1)*n*(n+1)/30.at n=19A210569
- Principal diagonal of the convolution array A212891.at n=15A213436
- Number A(n,k) of standard Young tableaux of shape [n*k,n]; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=52A214776
- Number of standard Young tableaux of shape [7n,7].at n=2A215547
- Triangle, read by rows, T(n,k) = 2*k*C(2*(n+k),n-k)/(n+k).at n=37A257501
- Triangle read by rows: T(n,k) = number of colored weighted Motzkin paths ending at (n,k).at n=50A293172
- Expansion of 1/((1 - x)^8 + x^8).at n=13A306941