A223384 Number of nX5 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order

41, 2358, 151962, 10139432, 684434305, 46377822217, 3146553746804, 213569806424579, 14497860201301485, 984209549790487316, 66815578146284698253, 4535968556179629648389, 307937834890810192498296

Offset

1,1

Comments

Column 5 of A223387

Links

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

Formula

Empirical: a(n) = 131*a(n-1) -5717*a(n-2) +109670*a(n-3) -828581*a(n-4) -1902214*a(n-5) +64372679*a(n-6) -226971511*a(n-7) -1248301585*a(n-8) +8721187675*a(n-9) +3444441720*a(n-10) -118340162696*a(n-11) +121998428651*a(n-12) +708960006989*a(n-13) -1221095144576*a(n-14) -1871921837898*a(n-15) +4170956498260*a(n-16) +2182816247872*a(n-17) -5974367500480*a(n-18) -1192175317856*a(n-19) +3260303503168*a(n-20) +453832814848*a(n-21) -387324680448*a(n-22) -1168988160*a(n-23) for n>24

Example

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

Crossrefs

Sequence in context: A353113 A241374 A233095 * A211907 A291860 A193124

Adjacent sequences: A223381 A223382 A223383 * A223385 A223386 A223387

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved