31519
domain: N
Appears in sequences
- Expansion of 1/((1 - x)*(1 - 4*x + 2 * x^2)).at n=8A035344
- 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, 0), (-1, 1, -1), (-1, 1, 1), (1, -1, 0), (1, 1, 0)}.at n=9A149164
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,1 2,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155220
- G.f.: 1/(1-2*x+2*x^2-x^3+x^4).at n=40A199802
- G.f.: 1/(1 + x - x^2 - x^3 + x^4).at n=41A199803
- Trisection 1 of A199802.at n=13A199928
- Numbers that are both a sum of two positive cubes and a difference of two consecutive cubes.at n=6A225909
- Number of partitions of n having (sum of odd parts) < (sum of even parts).at n=44A239259
- Positive numbers that are the sum of two (possibly negative) cubes in at least 2 ways (primitive solutions).at n=40A293647
- Sum of two (possibly negative) coprime cubes in at least 2 ways, but not the sum of 2 noncoprime cubes.at n=23A293648
- Consecutive internal states of the linear congruential pseudo-random number generator (205*s + 29573) mod 139968 when started at 1.at n=18A383127