A207497 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically

13, 169, 699, 2942, 14253, 68745, 343310, 1714707, 8658045, 43808202, 222697019, 1134527403, 5795073744, 29653954449, 152010652165, 780332029484, 4010975606113, 20639771978707, 106316035774240, 548128063053109

Offset

1,1

Comments

Column 5 of A207500

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -17*a(n-2) -407*a(n-3) +1361*a(n-4) +5048*a(n-5) -24757*a(n-6) -30088*a(n-7) +231328*a(n-8) +66085*a(n-9) -1314702*a(n-10) +224399*a(n-11) +4884111*a(n-12) -2047901*a(n-13) -12326395*a(n-14) +6862627*a(n-15) +21620699*a(n-16) -13538690*a(n-17) -26727847*a(n-18) +17354874*a(n-19) +23481642*a(n-20) -14973565*a(n-21) -14711868*a(n-22) +8790663*a(n-23) +6559254*a(n-24) -3492706*a(n-25) -2059830*a(n-26) +917580*a(n-27) +444862*a(n-28) -151484*a(n-29) -62872*a(n-30) +14112*a(n-31) +5224*a(n-32) -560*a(n-33) -192*a(n-34) for n>35

Example

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

Crossrefs

Sequence in context: A207464 A207239 A208161 * A207957 A208041 A208030

Adjacent sequences: A207494 A207495 A207496 * A207498 A207499 A207500

Keyword

nonn

Author

R. H. Hardin Feb 18 2012

Status

approved