A207028 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

10, 100, 270, 1035, 3315, 8280, 23400, 56814, 136114, 322834, 725005, 1627260, 3560880, 7664285, 16349062, 34340640, 71524992, 147574233, 301825437, 613141606, 1236720905, 2479598284, 4944012260, 9806225404, 19359765906

Offset

1,1

Comments

Row 5 of A207024

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -2*a(n-2) -18*a(n-3) -9*a(n-4) +85*a(n-5) +30*a(n-6) -158*a(n-7) -196*a(n-8) +244*a(n-9) +340*a(n-10) -8*a(n-11) -441*a(n-12) -159*a(n-13) -32*a(n-14) +240*a(n-15) +249*a(n-16) +307*a(n-17) -270*a(n-18) -286*a(n-19) -225*a(n-20) +125*a(n-21) +54*a(n-22) +218*a(n-23) +37*a(n-24) -9*a(n-25) -126*a(n-26) -10*a(n-27) -30*a(n-28) +26*a(n-29) +10*a(n-30) +22*a(n-31) -8*a(n-32) -4*a(n-34) -a(n-36) +a(n-37)

Example

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

Crossrefs

Sequence in context: A207847 A095920 A207602 * A207173 A207456 A208836

Adjacent sequences: A207025 A207026 A207027 * A207029 A207030 A207031

Keyword

nonn

Author

R. H. Hardin Feb 14 2012

Status

approved