31065

Appears in sequences

• T(2n,n), array T as in A047040.at n=7A047049
• a(n) = (prime(n)^4 - prime(n^4))/2, where prime(n) is the n-th prime.at n=6A143682
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, 0), (1, 1, -1), (1, 1, 1)}.at n=8A149746
• Number of ways to place zero or more nonadjacent 2,1 2,2 3,1 4,0 4,1 5,2 6,3 6,4 polyhexes in any orientation on a planar nXnXn triangular grid.at n=8A155438
• Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically.at n=9A207596
• Total number of occurrences of the pattern 1<2 in all preferential arrangements (or ordered partitions) of n elements.at n=5A240796
• Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to either SmallGroup(2187,247)-#1;5 or SmallGroup(2187,247)-#1;9.at n=7A250242
• Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.at n=30A391864