A207394 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically

10, 100, 350, 1271, 5348, 19319, 65955, 232892, 806886, 2731598, 9282799, 31515158, 106316099, 358441563, 1208892830, 4071575656, 13706136778, 46144638323, 155319797404, 522698327881, 1759064945909, 5919715175612, 19920381011276

Offset

1,1

Comments

Row 5 of A207391

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -13*a(n-2) +37*a(n-3) -117*a(n-4) +173*a(n-5) -295*a(n-6) +711*a(n-7) -732*a(n-8) +936*a(n-9) -2073*a(n-10) +1402*a(n-11) -1672*a(n-12) +3654*a(n-13) -1481*a(n-14) +2262*a(n-15) -4159*a(n-16) +901*a(n-17) -2155*a(n-18) +2729*a(n-19) -143*a(n-20) +1111*a(n-21) -900*a(n-22) -104*a(n-23) -297*a(n-24) +174*a(n-25) +22*a(n-26) +48*a(n-27) -24*a(n-28)

Example

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

Crossrefs

Sequence in context: A208551 A207308 A207114 * A207941 A207468 A207520

Adjacent sequences: A207391 A207392 A207393 * A207395 A207396 A207397

Keyword

nonn

Author

R. H. Hardin Feb 17 2012

Status

approved