A207842 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically

16, 256, 432, 2320, 10144, 41444, 185136, 813824, 3485460, 15230748, 66498048, 288260144, 1254699732, 5464724040, 23754515904, 103342176624, 449732042272, 1956188201356, 8510004040560, 37025612095680, 161072178927292

Offset

1,1

Comments

Column 5 of A207845

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +48*a(n-3) +76*a(n-4) +109*a(n-5) -87*a(n-6) -231*a(n-7) -212*a(n-8) -604*a(n-9) -224*a(n-10) -993*a(n-11) +224*a(n-12) -604*a(n-13) +212*a(n-14) -231*a(n-15) +87*a(n-16) +109*a(n-17) -76*a(n-18) +48*a(n-19) -3*a(n-20) +a(n-22) for n>24

Example

Some solutions for n=4
..0..1..0..1..1....1..0..1..0..1....1..0..1..0..0....0..1..0..1..0
..1..0..1..0..0....0..1..0..1..1....0..1..0..1..1....0..1..0..1..1
..0..1..1..1..0....0..1..0..1..0....1..1..1..1..1....1..0..1..0..0
..0..1..0..1..1....1..0..1..0..1....1..0..1..0..0....0..1..0..1..0

Crossrefs

Sequence in context: A207586 A208071 A206984 * A135554 A208376 A208066

Adjacent sequences: A207839 A207840 A207841 * A207843 A207844 A207845

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved