129948
domain: N
Appears in sequences
- Expansion of g.f. (1+2*x+x^2)/(1-50*x+x^2).at n=3A004296
- Triangle of central factorial numbers 4^k T(2n+1, 2n+1-2k).at n=38A008958
- Partial sums of A051880.at n=12A050406
- Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].at n=49A065077
- Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1+x) - x^2*(1+x)^3 + xy*f(x,y)^3.at n=51A086634
- Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (3-sqrt(1-4x))/2 + xy*f(x,y)^3.at n=42A086636
- Number of ordered quadruples (i,j,k,l) in range [0..n] satisfying i == j (mod 2), j == k (mod 3) and k == l (mod 4).at n=41A115523
- Triangle of scaled central factorial numbers, T(n,k) = A008958(n,n-k).at n=42A160562
- Sums of adjacent amicable numbers, a(n) = A063990(2n-1) + A063990(2n).at n=8A161005
- a(n) = n*(n-1)*(2*n+1)*(2*n-1)*(2*n-3)*(10*n-17)/90.at n=8A185375
- Triangle read by rows: The number of chord diagrams with n chords and k topologically connected components, 0 <= k <= n.at n=52A322402