A252114 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7

1417, 1929, 1929, 1568, 1424, 1568, 1600, 724, 724, 1600, 1884, 584, 554, 584, 1884, 2058, 624, 776, 776, 624, 2058, 2468, 788, 1258, 1314, 1258, 788, 2468, 3149, 1180, 1634, 1956, 1956, 1634, 1180, 3149, 3950, 1668, 2476, 2658, 3528, 2658, 2476, 1668

Offset

1,1

Comments

Table starts

.1417.1929.1568..1600..1884...2058...2468....3149....3950....5208.....6792

.1929.1424..724...584...624....788...1180....1668....2472....3888.....5640

.1568..724..554...776..1258...1634...2476....3938....5956....9176....14532

.1600..584..776..1314..1956...2658...4488....7248...10632...17952....28992

.1884..624.1258..1956..3528...6070..11760...21344...39200...80832...147840

.2058..788.1634..2658..6070...9834..17772...38610...70968..132528...284488

.2468.1180.2476..4488.11760..17772..33216...84864..142176..265728...678912

.3149.1668.3938..7248.21344..38610..84864..252160..478368.1145856..3467264

.3950.2472.5956.10632.39200..70968.142176..478368.1017408.2120448..6956288

.5208.3888.9176.17952.80832.132528.265728.1145856.2120448.4251648.18333696

Links

R. H. Hardin, Table of n, a(n) for n = 1..449

Formula

Empirical for column k:

k=1: [linear recurrence of order 25] for n>33

k=2: a(n) = 6*a(n-3) -8*a(n-6) for n>13

k=3: a(n) = 6*a(n-3) -8*a(n-6) for n>11

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

k=5: a(n) = 12*a(n-3) -32*a(n-6) for n>11

k=6: a(n) = 12*a(n-3) -32*a(n-6) for n>11

k=7: a(n) = 8*a(n-3) for n>8

Example

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

Crossrefs

Sequence in context: A188099 A252106 A252107 * A364125 A293093 A337671

Adjacent sequences: A252111 A252112 A252113 * A252115 A252116 A252117

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved