169344

Appears in sequences

• Integers of the form Product p_j^k_j = Product k_j^p_j; p_j in A000040.at n=16A008478
• Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.at n=15A008658
• Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...at n=9A012708
• Least sum of 4 positive cubes in exactly n ways.at n=15A025420
• Numbers k such that, in the prime factorization of k, the product of exponents equals the product of prime factors.at n=22A054412
• Stirling2 triangle with scaled diagonals (powers of 4).at n=41A075499
• Sixth column of triangle A075499.at n=3A075909
• a(n) = 18n^3 + 6n^2.at n=21A087887
• Numbers whose 3 prime powers are a permutation of each other. Numbers with 3 distinct prime factors whose 3 exponents are a permutation of the 3 bases.at n=4A113620
• Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k weak ascents (1<=k<=n). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A weak ascent in a Schroeder path is a maximal sequence of consecutive U and H steps.at n=50A114655
• Triangle read by rows: T(n,k) is the number of double rise-bicolored Dyck paths (double rises come in two colors; also called marked Dyck paths) of semilength n and having k peaks (1 <= k <= n).at n=49A114656
• Triangle read by rows: T(n,k) is the number of double rise-bicolored Dyck paths (double rises come in two colors; also called marked Dyck paths) of semilength n and having k double rises (0 <= k <= n-1).at n=50A114687
• Numbers of the form Product_i b_i^e_i, where the b_i are all distinct values > 1 and the e_i are a permutation of the b_i.at n=32A122405
• Numbers of the form Product_i p_i^e_i, where the p_i are distinct primes and the e_i are a permutation of the p_i.at n=15A122406
• Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(6,n).at n=10A132464
• Triangle T(n, k, q) = n!*(n+1)!*q^k/((n-k)!(n-k+1)!) if floor(n/2) > k-1, otherwise n!*(n+1)!*q^(n-k)/(k!*(k+1)!) for q = 1, read by rows.at n=39A174449
• Triangle T(n, k, q) = n!*(n+1)!*q^k/((n-k)!(n-k+1)!) if floor(n/2) > k-1, otherwise n!*(n+1)!*q^(n-k)/(k!*(k+1)!) for q = 1, read by rows.at n=41A174449
• a(n) = 6*n^2*(2*n + 1).at n=24A190705
• Denominators of a sequence leading to gamma = A001620.at n=6A195189
• Triangular array read by rows. T(n,k) = A008277(n,k)*2^k; n >= 1, 1 <= k <= n.at n=41A227450