A251923 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7

1194, 1914, 1914, 2524, 3054, 2524, 3260, 4624, 4624, 3260, 5810, 4938, 6086, 4938, 5810, 8932, 10704, 10820, 10820, 10704, 8932, 12872, 19964, 27366, 25882, 27366, 19964, 12872, 21518, 34396, 59760, 80438, 80438, 59760, 34396, 21518, 33814, 76834

Offset

1,1

Comments

Table starts

..1194...1914....2524.....3260......5810.......8932.......12872........21518

..1914...3054....4624.....4938.....10704......19964.......34396........76834

..2524...4624....6086....10820.....27366......59760......153792.......424648

..3260...4938...10820....25882.....80438.....253148......856022......3063064

..5810..10704...27366....80438....340800....1316762.....5742474.....24518672

..8932..19964...59760...253148...1316762....6752446....36065236....196441982

.12872..34396..153792...856022...5742474...36065236...249690188...1610617806

.21518..76834..424648..3063064..24518672..196441982..1610617806..13251150646

.33814.157770.1188644.10885914.111841952.1066828482.11148308670.108350245070

.52274.319716.3247774.39035588.475675160.5808060274.71796251804.887270130550

Links

R. H. Hardin, Table of n, a(n) for n = 1..390

Formula

Empirical for column k:

k=1: [linear recurrence of order 59] for n>63

k=2: [order 66] for n>69

k=3: [order 73] for n>77

k=4: [order 69] for n>74

Example

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

Crossrefs

Sequence in context: A287049 A153379 A103172 * A251916 A251915 A166221

Adjacent sequences: A251920 A251921 A251922 * A251924 A251925 A251926

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2014

Status

approved