A252254 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7

318, 260, 260, 278, 239, 278, 352, 242, 242, 352, 463, 268, 231, 268, 463, 616, 302, 249, 249, 302, 616, 847, 359, 279, 267, 279, 359, 847, 1160, 437, 318, 297, 297, 318, 437, 1160, 1625, 549, 366, 336, 327, 336, 366, 549, 1625, 2281, 707, 444, 384, 366, 366, 384

Offset

1,1

Comments

Table starts

..318.260.278.352.463.616.847.1160.1625.2281.3237.4631.6575.9496.13664.19579

..260.239.242.268.302.359.437..549..707..919.1239.1682.2274.3182..4435..6115

..278.242.231.249.279.318.366..444..546..672..876.1143.1473.2007..2706..3570

..352.268.249.267.297.336.384..462..564..690..894.1161.1491.2025..2724..3588

..463.302.279.297.327.366.414..492..594..720..924.1191.1521.2055..2754..3618

..616.359.318.336.366.405.453..531..633..759..963.1230.1560.2094..2793..3657

..847.437.366.384.414.453.501..579..681..807.1011.1278.1608.2142..2841..3705

.1160.549.444.462.492.531.579..657..759..885.1089.1356.1686.2220..2919..3783

.1625.707.546.564.594.633.681..759..861..987.1191.1458.1788.2322..3021..3885

.2281.919.672.690.720.759.807..885..987.1113.1317.1584.1914.2448..3147..4011

Links

R. H. Hardin, Table of n, a(n) for n = 1..880

Formula

Empirical for column k:

k=1: [linear recurrence of order 18] for n>25

k=2: [order 12] for n>16

k=3: a(n) = a(n-1) +3*a(n-3) -3*a(n-4) -a(n-6) +a(n-7) for n>9

k=4: a(n) = a(n-1) +3*a(n-3) -3*a(n-4) -a(n-6) +a(n-7) for n>9

k=5: a(n) = a(n-1) +3*a(n-3) -3*a(n-4) -a(n-6) +a(n-7) for n>9

k=6: a(n) = a(n-1) +3*a(n-3) -3*a(n-4) -a(n-6) +a(n-7) for n>9

k=7: a(n) = a(n-1) +3*a(n-3) -3*a(n-4) -a(n-6) +a(n-7) for n>9

Example

Some solutions for n=4 k=4
..0..0..2..0..0..2....0..0..1..0..0..1....2..0..2..2..0..2....1..0..1..0..1..0
..1..1..0..1..1..0....0..0..1..0..0..1....0..1..3..0..1..3....0..1..0..1..0..1
..0..0..2..0..0..2....2..2..0..2..2..0....0..1..3..0..1..3....1..0..1..0..1..0
..0..0..2..0..0..2....0..0..1..0..0..1....2..0..2..2..0..2....0..1..0..1..0..1
..1..1..0..1..1..0....0..0..1..0..0..1....0..1..3..0..1..3....1..0..1..0..1..0
..0..0..2..0..0..2....2..2..0..2..2..0....0..1..3..0..1..3....0..1..0..1..0..1

Crossrefs

Sequence in context: A278279 A058002 A252246 * A252247 A323327 A323328

Adjacent sequences: A252251 A252252 A252253 * A252255 A252256 A252257

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved