A258966 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3

66, 158, 158, 214, 344, 214, 462, 274, 274, 462, 676, 467, 192, 467, 676, 1374, 614, 286, 286, 614, 1374, 2040, 951, 288, 312, 288, 951, 2040, 4104, 1228, 412, 340, 340, 412, 1228, 4104, 6136, 1951, 456, 503, 384, 503, 456, 1951, 6136, 12296, 2652, 670, 662

Offset

1,1

Comments

Table starts

....66..158..214..462..676.1374.2040.4104.6136.12296.18424.36872.55288.110600

...158..344..274..467..614..951.1228.1951.2652..4261..5688..9170.12562..20311

...214..274..192..286..288..412..456..670..816..1194..1536..2242..2976...4338

...462..467..286..312..340..503..662..761..878..1493..2228..2576..3092...5504

...676..614..288..340..384..466..552..724..912..1248..1632..2296..3072...4392

..1374..951..412..503..466..694..788..952.1004..1684..2354..2767..3218...5695

..2040.1228..456..662..552..788..720.1046.1080..1570..1800..2618..3240...4714

..4104.1951..670..761..724..952.1046.1210.1262..1942..2612..3025..3476...5953

..6136.2652..816..878..912.1004.1080.1262.1440..1786..2160..2834..3600...4930

.12296.4261.1194.1493.1248.1684.1570.1942.1786..2674..3136..3757..4000...6685

Links

R. H. Hardin, Table of n, a(n) for n = 1..5511

Formula

Empirical for diagonal and column k:

diagonal: a(n) = 4*a(n-4) for n>10

k=1: a(n) = -a(n-1) +3*a(n-2) +3*a(n-3) for n>9

k=2: a(n) = a(n-1) +a(n-2) -a(n-3) +4*a(n-4) -4*a(n-5) -3*a(n-6) +3*a(n-7) for n>13

k=3: a(n) = 3*a(n-2) -2*a(n-4) for n>10

k=4: a(n) = a(n-2) +4*a(n-4) -4*a(n-6) for n>12

k=5: a(n) = 3*a(n-2) -2*a(n-4) for n>10

k=6: a(n) = a(n-2) +4*a(n-4) -4*a(n-6) for n>12

k=7: a(n) = 3*a(n-2) -2*a(n-4) for n>10

k=8: a(n) = a(n-2) +4*a(n-4) -4*a(n-6) for n>12

k=9: a(n) = 3*a(n-2) -2*a(n-4) for n>10

Example

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

Crossrefs

Sequence in context: A122125 A278783 A358102 * A258959 A062035 A043514

Adjacent sequences: A258963 A258964 A258965 * A258967 A258968 A258969

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 15 2015

Status

approved