A252105 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7

2458, 4581, 4581, 6549, 4866, 6549, 10605, 5087, 5087, 10605, 21457, 8941, 10878, 8941, 21457, 38599, 21405, 26996, 26996, 21405, 38599, 70372, 50222, 86550, 86575, 86550, 50222, 70372, 150102, 120128, 252110, 329544, 329544, 252110, 120128

Offset

1,1

Comments

Table starts

...2458....4581.....6549.....10605......21457.......38599........70372

...4581....4866.....5087......8941......21405.......50222.......120128

...6549....5087....10878.....26996......86550......252110.......727203

..10605....8941....26996.....86575.....329544.....1129324......3681127

..21457...21405....86550....329544....1704334.....7637420.....31734323

..38599...50222...252110...1129324....7637420....41913367....204205735

..70372..120128...727203...3681127...31734323...204205735...1113772174

.150102..312242..2385233..14793289..169483164..1415634760..10036222063

.279508..762514..7252003..52094021..790459932..8021937546..65817065181

.526503.1878978.21530207.172583949.3479889673.40908964043.375634409542

Links

R. H. Hardin, Table of n, a(n) for n = 1..448

Formula

Empirical for column k:

k=1: [linear recurrence of order 69] for n>77

k=2: [order 47] for n>53

k=3: [order 57] for n>62

k=4: [order 66] for n>71

k=5: [order 99] for n>104

Example

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

Crossrefs

Sequence in context: A191383 A206409 A252013 * A252098 A252097 A252225

Adjacent sequences: A252102 A252103 A252104 * A252106 A252107 A252108

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved