786240

Appears in sequences

• A triangle related to A000045 (Fibonacci numbers).at n=48A039948
• Partial products of A003188 (Gray code).at n=9A048642
• Number of runs of length 1 in all permutations of [n]. (The permutation 3574162 has two runs of length 1: 357/4/16/2.)at n=8A097900
• a(1) = 1. For n >= 2, a(n) = sum of the two (not necessarily distinct) earlier terms, a(j) and a(k), which maximizes d(a(j)+a(k)), where d(m) is the number of positive divisors of m. a(n) = the minimum (a(j)+a(k)) if more than one such sum has the maximum number of divisors.at n=24A115387
• Triangle read by rows: T(n,k) = the number of ascending runs of length k in the permutations of [n] for k <= n.at n=36A122843
• A triangular sequence based on expansion of the rational polynomial of A023054 as a Sheffer sequence: p(x,t)=Exp[x*t]*(1 - t^5)/((1 - t)*(1 - t^2)^2*(1 - t^3)).at n=48A138186
• A partition product with biggest-part statistic of Stirling_1 type (with parameter k = -2) as well as of Stirling_2 type (with parameter k = -2), (triangle read by rows).at n=41A157400
• Number of n-colorings of the Coxeter graph.at n=3A157993
• E.g.f. A(x) satisfies A(x) = x*(1 - A(x))^(-A(x)).at n=7A191415
• Position of records in A067513.at n=39A202727
• Four times the area of the smallest of n-tuples of Heronian triangles with equal perimeter and equal area.at n=5A204559
• The denominators of J. L. Fields generalized Bernoulli polynomials.at n=6A220411
• Total number of inversions in all permutations of order n consisting of a single cycle.at n=9A227404
• Numbers k such that floor(Sum_{d|k} 1 / sigma(d)) = 3.at n=29A265713
• Highly composite numbers of class 1 (see comment).at n=36A275239
• Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.at n=38A277408
• Positions of records in A306440.at n=17A307221
• Index of first occurrence of n in the Erdös-Hooley Delta function A226898, with a(0)=0.at n=35A309278
• a(n) = (1/24)*n*((4*n + 3)*(2*n^2 + 1) - 3*(-1)^n).at n=39A325656
• 3-parking triangle T(r, i, 3) read by rows: T(r, i, k) = (r + 1)^(i-1)*binomial(k*(r + 1) + r - i - 1, r - i) with k = 3 and 0 <= i <= r.at n=30A329059