A257447 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 1 and no column sum 1

30, 36, 36, 39, 38, 39, 49, 41, 41, 49, 65, 51, 47, 51, 65, 90, 68, 59, 59, 68, 90, 128, 95, 77, 71, 77, 95, 128, 186, 134, 104, 89, 89, 104, 134, 186, 269, 191, 143, 116, 107, 116, 143, 191, 269, 392, 275, 200, 155, 134, 134, 155, 200, 275, 392, 573, 398, 284, 212, 173

Offset

1,1

Comments

Table starts

..30..36..39..49..65..90.128.186.269.392.573..836.1223.1791.2621.3839.5625.8240

..36..38..41..51..68..95.134.191.275.398.578..842.1229.1796.2627.3845.5630.8246

..39..41..47..59..77.104.143.200.284.407.587..851.1238.1805.2636.3854.5639.8255

..49..51..59..71..89.116.155.212.296.419.599..863.1250.1817.2648.3866.5651.8267

..65..68..77..89.107.134.173.230.314.437.617..881.1268.1835.2666.3884.5669.8285

..90..95.104.116.134.161.200.257.341.464.644..908.1295.1862.2693.3911.5696.8312

.128.134.143.155.173.200.239.296.380.503.683..947.1334.1901.2732.3950.5735.8351

.186.191.200.212.230.257.296.353.437.560.740.1004.1391.1958.2789.4007.5792.8408

.269.275.284.296.314.341.380.437.521.644.824.1088.1475.2042.2873.4091.5876.8492

.392.398.407.419.437.464.503.560.644.767.947.1211.1598.2165.2996.4214.5999.8615

Links

R. H. Hardin, Table of n, a(n) for n = 1..1860

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +2*a(n-3) -a(n-4) -a(n-6) for n>12

k=2: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) for n>8

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

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

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

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

k=7: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4)

k=8: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) for n>5

k=9: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4)

Example

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

Crossrefs

Sequence in context: A218114 A368496 A138689 * A257440 A114840 A284787

Adjacent sequences: A257444 A257445 A257446 * A257448 A257449 A257450

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 23 2015

Status

approved