A254978 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0

121, 310, 310, 1008, 1282, 1008, 3241, 6915, 6915, 3241, 9961, 27211, 49040, 27211, 9961, 30529, 116534, 260705, 260705, 116534, 30529, 94351, 518534, 1592767, 1892418, 1592767, 518534, 94351, 292130, 2243657, 9673960, 14786310, 14786310

Offset

1,1

Comments

Table starts

.....121.......310........1008.........3241...........9961............30529

.....310......1282........6915........27211.........116534...........518534

....1008......6915.......49040.......260705........1592767..........9673960

....3241.....27211......260705......1892418.......14786310........120085764

....9961....116534.....1592767.....14786310......157053228.......1760294428

...30529....518534.....9673960....120085764.....1760294428......26791709738

...94351...2243657....57587977....951267911....18669294271.....386436174713

..292130...9685030...343845199...7494431489...198281505279....5591072360971

..902991..42217091..2068795871..59709702434..2142895186847...82384470012045

.2789674.183348161.12385458149.473847733773.23011122611592.1203025247852858

Links

R. H. Hardin, Table of n, a(n) for n = 1..263

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 20] for n>22

k=3: [order 35] for n>38

k=4: [order 59] for n>62

Example

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

Crossrefs

Sequence in context: A106562 A106573 A084306 * A254971 A112075 A068872

Adjacent sequences: A254975 A254976 A254977 * A254979 A254980 A254981

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2015

Status

approved