A208037 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically

25, 625, 3969, 23409, 137641, 811801, 4791721, 28334329, 167314225, 987656329, 5832835129, 34448473609, 203428962961, 1201297105369, 7094141691289, 41893968228025, 247400088307849, 1460990772422281, 8627719639899361

Offset

1,1

Comments

Column 6 of A208039

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +10*a(n-2) +53*a(n-3) +144*a(n-4) +139*a(n-5) -542*a(n-6) -1870*a(n-7) -1005*a(n-8) +2821*a(n-9) +3667*a(n-10) -1118*a(n-11) -2098*a(n-12) +864*a(n-13) +3529*a(n-14) +6316*a(n-15) +3326*a(n-16) +1343*a(n-17) -3558*a(n-18) +1437*a(n-19) -5034*a(n-20) +2804*a(n-21) -5891*a(n-22) +3521*a(n-23) -3008*a(n-24) +3398*a(n-25) -1498*a(n-26) +1049*a(n-27) -755*a(n-28) +265*a(n-29) -192*a(n-30) +81*a(n-31) -16*a(n-32) +12*a(n-33) -5*a(n-34) +3*a(n-35) -a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A207466 A207701 A207906 * A207856 A207424 A207739

Adjacent sequences: A208034 A208035 A208036 * A208038 A208039 A208040

Keyword

nonn

Author

R. H. Hardin Feb 22 2012

Status

approved