A207963 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically

14, 196, 932, 3923, 15839, 66089, 274310, 1137227, 4717144, 19562408, 81137237, 336532615, 1395776345, 5789011066, 24010216811, 99583798522, 413029045498, 1713057493953, 7104991166089, 29468317523707, 122221341928692

Offset

1,1

Comments

Row 5 of A207960

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +27*a(n-3) +52*a(n-4) +69*a(n-5) -35*a(n-6) -285*a(n-7) -495*a(n-8) -186*a(n-9) +721*a(n-10) +1173*a(n-11) +105*a(n-12) -1194*a(n-13) -703*a(n-14) +560*a(n-15) +572*a(n-16) -197*a(n-17) -382*a(n-18) -68*a(n-19) +154*a(n-20) +117*a(n-21) -a(n-22) -18*a(n-23) +6*a(n-24) +3*a(n-25) +3*a(n-27) -a(n-29) -a(n-30) -a(n-31) for n>33

Example

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

Crossrefs

Sequence in context: A208166 A207065 A207120 * A207502 A209654 A207074

Adjacent sequences: A207960 A207961 A207962 * A207964 A207965 A207966

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved