A207395 Number of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically

12, 144, 556, 2239, 10570, 42167, 158217, 616386, 2348280, 8718366, 32527713, 121179612, 448121671, 1656554267, 6126075658, 22616670998, 83456777796, 308017759907, 1136469054610, 4192305708517, 15465595040747, 57051037851614

Offset

1,1

Comments

Row 6 of A207391

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -18*a(n-2) +55*a(n-3) -200*a(n-4) +369*a(n-5) -674*a(n-6) +1854*a(n-7) -2594*a(n-8) +3352*a(n-9) -8455*a(n-10) +8966*a(n-11) -8626*a(n-12) +23465*a(n-13) -17866*a(n-14) +13584*a(n-15) -43963*a(n-16) +20792*a(n-17) -14014*a(n-18) +54787*a(n-19) -10215*a(n-20) +8428*a(n-21) -43050*a(n-22) -3791*a(n-23) -2916*a(n-24) +21630*a(n-25) +6143*a(n-26) +1316*a(n-27) -7216*a(n-28) -2448*a(n-29) -381*a(n-30) +1354*a(n-31) +446*a(n-32) -120*a(n-34)

Example

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

Crossrefs

Sequence in context: A267716 A207309 A207115 * A207942 A207400 A207749

Adjacent sequences: A207392 A207393 A207394 * A207396 A207397 A207398

Keyword

nonn

Author

R. H. Hardin Feb 17 2012

Status

approved