1020600

Appears in sequences

• Number of simplices in barycentric subdivision of n-simplex.at n=4A005463
• a(n) = 5^(n-1) - 4*4^(n-1) + 6*3^(n-1) - 4*2^(n-1) + 1 (essentially Stirling numbers of second kind).at n=9A028245
• Triangular array a(n,k) = (1/k)*Sum_{i=0..k} (-1)^(k-i)*binomial(k,i)*i^n; n >= 1, 1 <= k <= n, read by rows.at n=49A028246
• Number of k-simplices in the first derived complex of the standard triangulation of an n-simplex. Equivalently, T(n,k) is the number of ascending chains of length k+1 of nonempty subsets of the set {1, 2, ..., n+1}.at n=39A053440
• Fifth column (m=4) of unsigned triangle A111595.at n=5A111778
• Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1, 32*k+1 and 64*k+1 are primes.at n=11A124414
• Triangle read by rows, 0 <= k <= n, T(n,k) = Sum_{j=0..n} A(n,j)*binomial(n-j,k) where A(n,j) are the Eulerian numbers A173018.at n=50A130850
• Triangle of coefficients of a sequence of binomial type polynomials.at n=33A195205
• Triangle read by rows: the positive terms of A163626.at n=27A249163
• Triangle T(n, k) read by rows: T(n, k) = S2(n, k)*k! + S2(n, k-1)*(k-1)! with the Stirling2 triangle S2 = A048993.at n=50A285867
• Denominators of coefficients in S(x) where: C(x)^(1/2) - S(x)^(1/2) = 1 such that C'(x)*S(x)^(1/2) = S'(x)*C(x)^(1/2) = 2*x*C(x).at n=10A299433
• The third power of the unsigned Lah triangular matrix A105278.at n=23A308281
• a(1) = 1, and for n > 1, a(n) = A276086(n) * a(A064989(n)).at n=32A324889