A207245 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically

14, 196, 882, 3866, 13876, 40838, 122197, 323039, 839664, 2118081, 5144235, 12420899, 29367779, 68814825, 160240695, 370297213, 853749771, 1962554058, 4505049629, 10339042120, 23722711465, 54465341130, 125140238149

Offset

1,1

Comments

Row 5 of A207242

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -4*a(n-2) -31*a(n-3) +13*a(n-4) +163*a(n-5) -55*a(n-6) -486*a(n-7) -4*a(n-8) +1085*a(n-9) +240*a(n-10) -1523*a(n-11) -496*a(n-12) +1195*a(n-13) +75*a(n-14) -489*a(n-15) +1746*a(n-16) -146*a(n-17) -2825*a(n-18) -472*a(n-19) +2969*a(n-20) -441*a(n-21) -906*a(n-22) +1032*a(n-23) +214*a(n-24) -2032*a(n-25) +630*a(n-26) +1340*a(n-27) -749*a(n-28) -334*a(n-29) +486*a(n-30) -21*a(n-31) -703*a(n-32) +657*a(n-33) -63*a(n-34) -2*a(n-35) -178*a(n-36) +283*a(n-37) -262*a(n-38) +99*a(n-39) -38*a(n-40) +57*a(n-41) -61*a(n-42) +49*a(n-43) -20*a(n-44) +6*a(n-45) -5*a(n-46) +4*a(n-47) -3*a(n-48) +a(n-49)

Example

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

Crossrefs

Sequence in context: A207516 A207935 A208695 * A208166 A207065 A207120

Adjacent sequences: A207242 A207243 A207244 * A207246 A207247 A207248

Keyword

nonn

Author

R. H. Hardin Feb 16 2012

Status

approved