A207182 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 1 0 vertically

2, 4, 4, 7, 16, 7, 13, 49, 49, 12, 24, 169, 241, 144, 21, 44, 576, 1393, 1171, 441, 37, 81, 1936, 7915, 11227, 5917, 1369, 65, 149, 6561, 44065, 105836, 95299, 30067, 4225, 114, 274, 22201, 248525, 981850, 1507355, 816667, 151981, 12996, 200, 504, 75076

Offset

1,1

Comments

Table starts

...2.....4......7.......13.........24...........44.............81

...4....16.....49......169........576.........1936...........6561

...7....49....241.....1393.......7915........44065.........248525

..12...144...1171....11227.....105836.......981850........9196215

..21...441...5917....95299....1507355.....23471595......368714705

..37..1369..30067...816667...21722593....567046841....14960137403

..65..4225.151981..6951227..310484943..13575513917...600838995529

.114.12996.767377.59040685.4425513760.324280404464.24069606968809

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Example

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

Crossrefs

Column 1 is A005251(n+3)

Column 2 is A188501

Row 1 is A000073(n+3)

Row 2 is A085697(n+1)

Row 3 is A207089

Sequence in context: A206936 A206871 A207088 * A206994 A181224 A188567

Adjacent sequences: A207179 A207180 A207181 * A207183 A207184 A207185

Keyword

nonn,tabl

Author

R. H. Hardin Feb 15 2012

Status

approved