A207877 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically

19, 361, 702, 1940, 4160, 10742, 24952, 61530, 143916, 341856, 844144, 1976858, 4722206, 11490150, 27386568, 65256342, 157156516, 378403428, 901805910, 2160944164, 5211084366, 12459269388, 29798331568, 71701305774, 171968197128

Offset

1,1

Comments

Column 6 of A207879

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +16*a(n-3) +8*a(n-4) -24*a(n-5) -115*a(n-6) -22*a(n-7) +125*a(n-8) +346*a(n-9) -15*a(n-10) -362*a(n-11) -654*a(n-12) +63*a(n-13) +326*a(n-14) +940*a(n-15) -35*a(n-16) -527*a(n-17) -658*a(n-18) -497*a(n-19) +552*a(n-20) +390*a(n-21) +320*a(n-22) +60*a(n-23) -352*a(n-24) -8*a(n-25) -192*a(n-26) +96*a(n-27) for n>33

Example

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

Crossrefs

Sequence in context: A332798 A209227 A208504 * A207680 A223224 A207893

Adjacent sequences: A207874 A207875 A207876 * A207878 A207879 A207880

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved