A233221 Number of 5Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order

236, 249062, 380283286, 591021089923, 919538740854193, 1430752433413485334, 2226181797646725541747, 3463832366201193086324866, 5389557519089882187228785548, 8385893775946456250712252557989

Offset

1,1

Comments

Row 5 of A233217

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2029*a(n-1) -832021*a(n-2) +160263197*a(n-3) -17756586452*a(n-4) +1222552665616*a(n-5) -53513018192394*a(n-6) +1458136249728022*a(n-7) -22318377167045534*a(n-8) +104629200376146994*a(n-9) +2439922243667722900*a(n-10) -50921340700673396620*a(n-11) +440147505575862933163*a(n-12) -2020260611058219820091*a(n-13) +4512412582155699835851*a(n-14) -873914615115905196447*a(n-15) -18556558149052393335512*a(n-16) +39922944982502731107300*a(n-17) -33692398791639174000000*a(n-18) +10316024798437008000000*a(n-19) for n>23

Example

Some solutions for n=2
..0..1....0..0....0..1....0..1....0..0....0..1....0..1....0..1....0..0....0..1
..0..1....1..1....0..2....0..4....0..1....0..2....0..0....0..2....1..2....0..4
..2..1....5..2....2..0....0..2....2..2....4..4....2..1....5..1....2..1....2..4
..0..1....0..3....2..5....0..0....0..3....2..0....1..1....1..1....1..3....4..4
..0..1....1..0....3..3....2..2....4..5....1..5....5..5....3..1....3..1....4..3

Crossrefs

Sequence in context: A218520 A233243 A233200 * A265372 A252718 A036270

Adjacent sequences: A233218 A233219 A233220 * A233222 A233223 A233224

Keyword

nonn

Author

R. H. Hardin, Dec 06 2013

Status

approved