45724

Appears in sequences

• Let [n] = {1,2,...,n}. Let G_n be the union of all closed line segments joining any two elements of [n] X [n] along a vertical or horizontal line, or along a line with slope +-1. Then a(n) = combined total of the number of (nondegenerate) triangles and rectangles for which all edges are subsets of G_n.at n=14A098921
• a(n) = (prime(n)^4 - prime(n^4))/2, where prime(n) is the n-th prime.at n=7A143682
• Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) <= cn(0,5).at n=15A202085
• Number of distinct sums <= 1 of distinct reciprocals of integers <= n.at n=21A212607
• Triangular array read by rows: T(n,k) is the number of functional digraphs on {1,2,...,n} such that every element is mapped to a recurrent element and there are exactly k cycles, n>=1, 1<=k<=n.at n=23A228534
• Even numbers such that the sum of the even divisors and the sum of the odd divisors are a square or a cube.at n=34A263695
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 539", based on the 5-celled von Neumann neighborhood.at n=35A272803
• Numbers k such that sigma(k) = psi(k) + tau(k)^3.at n=18A390297