A207029 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

12, 144, 396, 1719, 6123, 16038, 49925, 129302, 329498, 836938, 1984447, 4716834, 10888212, 24623818, 55173270, 121321500, 264139722, 568757951, 1211623656, 2560468834, 5364327387, 11156813446, 23048288350, 47308658140, 96551671749

Offset

1,1

Comments

Row 6 of A207024

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -5*a(n-2) -25*a(n-3) +5*a(n-4) +146*a(n-5) -21*a(n-6) -400*a(n-7) -230*a(n-8) +955*a(n-9) +807*a(n-10) -997*a(n-11) -2055*a(n-12) +345*a(n-13) +2000*a(n-14) +1561*a(n-15) -601*a(n-16) -1120*a(n-17) -2255*a(n-18) -690*a(n-19) +1257*a(n-20) +3043*a(n-21) +570*a(n-22) -650*a(n-23) -1885*a(n-24) -921*a(n-25) -654*a(n-26) +1200*a(n-27) +910*a(n-28) +655*a(n-29) -421*a(n-30) -229*a(n-31) -520*a(n-32) -45*a(n-33) +25*a(n-34) +240*a(n-35) +25*a(n-36) +50*a(n-37) -45*a(n-38) -15*a(n-39) -30*a(n-40) +10*a(n-41) +5*a(n-43) +a(n-45) -a(n-46)

Example

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

Crossrefs

Sequence in context: A208382 A208070 A207603 * A207174 A207457 A208120

Adjacent sequences: A207026 A207027 A207028 * A207030 A207031 A207032

Keyword

nonn

Author

R. H. Hardin Feb 14 2012

Status

approved