376320

Appears in sequences

• a(n) = n!*n*(n-1)*(n-2)/36.at n=8A001810
• Seventh column of triangle A075499.at n=3A075910
• Array of coefficients of denominator polynomials of the n-th approximation of the continued fraction x/(1+x/(2+x/(3+..., related to Laguerre polynomial coefficients.at n=39A084950
• Triangle read by rows: T(n,k) = 2^k * (n!/k!)*binomial(n-1,k-1).at n=32A086915
• T(n,k) is the number of partial bijections of height k (height(alpha) = |Im(alpha)|) of an n-element set.at n=41A144084
• Triangle T(n, k) = binomial(n, k)*( n!/k! if floor(n/2) >= k otherwise n!/(n-k)! ), read by rows.at n=39A174298
• Triangle T(n, k) = binomial(n, k)*( n!/k! if floor(n/2) >= k otherwise n!/(n-k)! ), read by rows.at n=41A174298
• Number of non-attacking placements of 5 rooks on an n X n board.at n=7A179060
• Triangle read by rows: row n gives coefficients of expansion of Product_{k = 1..n-1} ((n + 1)*x + k), starting with lowest power.at n=24A220883
• Composite numbers m such that Sum_{i=1..k} (p_i/(p_i+1)) + Product_{i=1..k} (p_i/(p_i-1)) is an integer, where p_i are the k prime factors of m (with multiplicity).at n=34A230110
• Composite numbers m such that Product_{i=1..k} (p_i/(p_i-1)) / Sum_{i=1..k} (p_i/(p_i+1)) is an integer, where p_i are the k prime factors of m (with multiplicity).at n=20A230112
• Triangle read by rows: T(n,k) are the coefficients of the Lagrange (compositional) inversion of a function in terms of the Taylor series expansion of its reciprocal, n >= 1, k = 1..A000041(n-1).at n=48A248927
• Number of 3X3X3 triangular 0..n arrays with some element plus some adjacent element totalling n exactly once.at n=8A270258
• Triangle read by rows: T(n,k) (0 <= k <= n) = number of elements of alternating semigroup A_n of height k.at n=41A283321
• Triangle read by rows, coefficients of polynomials in t = log(x) of the n-th derivative of x^(x^2), evaluated at x = 1. T(n, k) with n >= 0 and 0 <= k <= n.at n=39A293473
• Triangular array read by rows: T(n,k) is the number of partial order relations on [n] that have exactly k components, n>=0, 0<=k<=n.at n=40A352399