A207887 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically

14, 196, 408, 1673, 4387, 10207, 33976, 97989, 250976, 751786, 2196861, 5945255, 17102505, 49610006, 138094073, 392237030, 1127664930, 3179722493, 9008231347, 25741356507, 72965532844, 206793439533, 588943622236, 1672443979270

Offset

1,1

Comments

Row 5 of A207885

Links

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

Formula

Empirical: a(n) = a(n-1) +23*a(n-3) -7*a(n-4) +a(n-5) -163*a(n-6) +21*a(n-7) -a(n-8) +621*a(n-9) -133*a(n-10) -11*a(n-11) -1509*a(n-12) +415*a(n-13) +18*a(n-14) +2512*a(n-15) -453*a(n-16) -10*a(n-17) -2932*a(n-18) -81*a(n-19) -45*a(n-20) +2408*a(n-21) +527*a(n-22) +25*a(n-23) -1360*a(n-24) -362*a(n-25) -16*a(n-26) +505*a(n-27) +62*a(n-28) -a(n-29) -111*a(n-30) +10*a(n-31) +11*a(n-33) for n>35

Example

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

Crossrefs

Sequence in context: A208110 A208842 A207490 * A207775 A207663 A207272

Adjacent sequences: A207884 A207885 A207886 * A207888 A207889 A207890

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved