A252278 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7

206, 185, 185, 232, 300, 232, 322, 588, 588, 322, 535, 948, 1407, 948, 535, 852, 2154, 2513, 2513, 2154, 852, 1260, 4702, 7803, 4895, 7803, 4702, 1260, 2221, 7922, 20430, 15739, 15739, 20430, 7922, 2221, 3676, 18772, 37160, 43488, 67509, 43488, 37160

Offset

1,1

Comments

Table starts

..206...185....232.....322......535.......852......1260.......2221........3676

..185...300....588.....948.....2154......4702......7922......18772.......41890

..232...588...1407....2513.....7803.....20430.....37160.....121782......326774

..322...948...2513....4895....15739.....43488.....85808.....276544......765830

..535..2154...7803...15739....67509....257064....518498....2242108.....8653976

..852..4702..20430...43488...257064...1181875...2489352...15332220....72256060

.1260..7922..37160...85808...518498...2489352...5767680...34496526...165959340

.2221.18772.121782..276544..2242108..15332220..34496526..279737770..1945383800

.3676.41890.326774..765830..8653976..72256060.165959340.1945383800.16717863291

.5538.71050.596036.1513196.17431304.151452208.384876232.4361403042.38061343287

Links

R. H. Hardin, Table of n, a(n) for n = 1..612

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-3) -7*a(n-6) +2*a(n-9) for n>12

k=2: [order 21] for n>22

k=3: [order 24] for n>27

k=4: a(n) = 21*a(n-3) -62*a(n-6) +47*a(n-9) -5*a(n-12) for n>15

k=5: [order 36] for n>37

k=6: [order 42] for n>48

k=7: [order 21] for n>27

Example

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

Crossrefs

Sequence in context: A015289 A203888 A188447 * A252271 A080529 A261749

Adjacent sequences: A252275 A252276 A252277 * A252279 A252280 A252281

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved