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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 16 2014
STATUS
approved

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Last modified February 23 23:47 EST 2024. Contains 370288 sequences. (Running on oeis4.)