A207703 T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 8, 15, 81, 102, 64, 10, 25, 225, 289, 216, 100, 12, 40, 625, 1071, 729, 390, 144, 14, 64, 1600, 3969, 3321, 1521, 636, 196, 16, 104, 4096, 13230, 15129, 8151, 2809, 966, 256, 18, 169, 10816, 44100, 61254, 43681, 17225, 4761, 1392

Offset

1,1

Comments

Table starts

..2...4....6....9....15.....25......40.......64.......104.......169........273

..4..16...36...81...225....625....1600.....4096.....10816.....28561......74529

..6..36..102..289..1071...3969...13230....44100....153090....531441....1815939

..8..64..216..729..3321..15129...61254...248004...1050282...4447881...18510693

.10.100..390.1521..8151..43681..206910...980100...4863870..24137569..117661437

.12.144..636.2809.17225.105625..571350..3090564..17518470..99301225..552967815

.14.196..966.4761.32775.225625.1369900..8317456..52895444.336392281.2102483853

.16.256.1392.7569.57681.439569.2956980.19891600.140048460.986022801.6826106385

Links

R. H. Hardin, Table of n, a(n) for n = 1..650

Example

Some solutions for n=4, k=3
..1..0..0....1..1..0....0..1..1....0..0..1....1..1..1....1..0..0....1..1..0
..0..0..1....0..0..1....1..1..0....1..0..0....1..1..1....1..0..1....1..0..1
..1..0..1....1..1..1....1..1..1....0..0..1....1..1..1....1..0..1....1..0..0
..0..0..1....1..0..1....1..1..1....0..0..1....1..1..1....1..0..1....1..0..1

Crossrefs

Column 2 is A016742.

Column 3 is A086113.

Column 4 is A207399.

Row 1 is A006498(n+2).

Row 2 is A189145(n+2).

Sequence in context: A207068 A209650 A207599 * A267719 A207752 A207514

Adjacent sequences: A207700 A207701 A207702 * A207704 A207705 A207706

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 19 2012

Status

approved