A208025 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically

16, 256, 1260, 5895, 26845, 123709, 574560, 2652823, 12235080, 56562528, 261375285, 1207084221, 5576420791, 25763656492, 119015522955, 549803070176, 2539953311868, 11733758509383, 54205846730505, 250413745670973

Offset

1,1

Comments

Column 5 of A208028

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +46*a(n-3) +80*a(n-4) +85*a(n-5) -209*a(n-6) -717*a(n-7) -782*a(n-8) +822*a(n-9) +3069*a(n-10) +1453*a(n-11) -3393*a(n-12) -3921*a(n-13) -204*a(n-14) +3302*a(n-15) +2760*a(n-16) -110*a(n-17) -883*a(n-18) -1470*a(n-19) -1242*a(n-20) +710*a(n-21) -507*a(n-22) +1675*a(n-23) -849*a(n-24) +968*a(n-25) -885*a(n-26) +238*a(n-27) -485*a(n-28) +90*a(n-29) -101*a(n-30) +63*a(n-31) -7*a(n-32) +14*a(n-33) -3*a(n-34) -a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A207810 A208284 A208417 * A207805 A016744 A207401

Adjacent sequences: A208022 A208023 A208024 * A208026 A208027 A208028

Keyword

nonn

Author

R. H. Hardin Feb 22 2012

Status

approved