A208700 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically

16, 256, 1152, 5371, 30160, 177488, 1103081, 6990922, 45002090, 291703403, 1899852502, 12403724792, 81108030137, 530824116234, 3475943478340, 22768311915069, 149167204090078, 977385748598970, 6404564660109105

Offset

1,1

Comments

Row 5 of A208698

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -16*a(n-2) -398*a(n-3) +1259*a(n-4) +4798*a(n-5) -21814*a(n-6) -28132*a(n-7) +191012*a(n-8) +69671*a(n-9) -998374*a(n-10) +79894*a(n-11) +3327301*a(n-12) -1054555*a(n-13) -7282308*a(n-14) +3255508*a(n-15) +10584275*a(n-16) -5481590*a(n-17) -10216108*a(n-18) +5674270*a(n-19) +6492348*a(n-20) -3730629*a(n-21) -2663480*a(n-22) +1556866*a(n-23) +678318*a(n-24) -401116*a(n-25) -99468*a(n-26) +59784*a(n-27) +7248*a(n-28) -4512*a(n-29) -192*a(n-30) +128*a(n-31) for n>32

Example

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

Crossrefs

Sequence in context: A207469 A207521 A207920 * A207256 A207951 A207860

Adjacent sequences: A208697 A208698 A208699 * A208701 A208702 A208703

Keyword

nonn

Author

R. H. Hardin Mar 01 2012

Status

approved