82368

Appears in sequences

• Number of segments (and sides) created by diagonals of an n-gon in general position.at n=30A014628
• a(n) = (n^2 - 1)*(n^2 - 3).at n=17A033596
• a(n) = 2^(n-4)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)/15.at n=7A080952
• Riordan array (1-u, u) where u=(-1 + sqrt(1+8*x))/4.at n=48A110292
• T(n, m) = 2^m * binomial(-m, n), for 0 <= m <= n, n >= 0, triangle read by rows.at n=42A122496
• Row sums of triangle A134392.at n=31A134393
• Number of line segments in regular n-gon with all diagonals drawn.at n=32A135565
• Wiener index of the grid P_n x P_n, where P_n is the path graph on n vertices.at n=11A143945
• Number of cycles in all non-derangement permutations of {1,2,...,n}.at n=7A162972
• a(n) = sinh(2*arccosh(n))^2 = 4*n^2*(n^2 - 1).at n=12A173121
• a(n) is the number of associate Rota-Baxter words in one idempotent generator x and one idempotent operator P of degree n. Such words are Rota-Baxter words that begin and/or end with x, and P is applied n times in the word.at n=7A181282
• Numbers with prime factorization pqr^2s^6.at n=15A190474
• a(n) = n*(n + 1)*(5*n - 4)/2.at n=32A237616
• E.g.f.: -sin(LambertW(-x)).at n=7A277499
• a(n) = 54*n^2 + 6*n.at n=39A277990
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.at n=21A279143
• Triangular array of generalized Narayana numbers T(n,k) = 4*binomial(n+1,k)* binomial(n-4,k-1)/(n+1) for n >= 3 and 0 <= k <= n-3, read by rows.at n=62A281297
• a(n) = 144*n^2 - 24*n (n>=1).at n=23A305072
• Numbers k such that A173557(k) = A173557(k+1).at n=20A333874
• Number of perfect powers (in A001597) that do not exceed primorial A002110(n).at n=10A380337