A198522 Number of n X 2 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
2, 15, 193, 3660, 81844, 1948672, 47436498, 1163606279, 28617909415, 704465305625, 17346617064022, 427184684002131, 10520398796919219, 259092051772297458, 6380839372392481249, 157145577058895542027
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0....0..1....0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..0 ..0..1....2..0....1..0....2..3....2..0....2..0....0..2....0..1....2..3....1..2 ..2..3....2..2....2..3....4..2....1..0....0..2....1..3....1..0....1..2....1..3 ..2..2....3..1....0..1....0..3....2..1....2..3....0..0....0..0....1..0....1..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..200
Crossrefs
Cf. A198528.
Formula
Empirical: a(n) = 35*a(n-1) -267*a(n-2) +246*a(n-3) +924*a(n-4) +710*a(n-5) -1736*a(n-6) -1860*a(n-7) +72*a(n-8) +1984*a(n-9) +720*a(n-10) -320*a(n-11) -512*a(n-12) for n > 14.
Comments