login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 14 2014
STATUS
approved