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Empirical for column k:
k=1: [linear recurrence of order 9] for n>11
k=2: [order 15] for n>17
k=3: [order 14] for n>20
k=4: a(n) = 3*a(n-7) +5*a(n-10) +a(n-13) -a(n-14) -a(n-17) -2*a(n-21) for n>27
k=5: a(n) = 2*a(n-7) -2*a(n-21) +a(n-28) for n>34
k=6: a(n) = a(n-14) for n>21
k=7: a(n) = a(n-14) for n>21
Empirical periodic continuations for column k:
k=6: period of length 14 starting at n=8: 748 968 1112 900 1504 4076 822 722 1018 1304 1188 1852 4804 1174
k=7: period of length 14 starting at n=8: 632 812 874 656 764 1052 600 540 692 824 688 780 1150 704
Empirical periodic continuations for diagonal:
diagonal: period of length 14 starting at n=8: 536 624 628 712 676 832 456 568 1036 704 616 696 2288 664
Empirical periodic tile pattern from columns 8-21 and rows 8-21:
..536..560..672..608..648..722..660..552..602..728..596..552..620..612
..560..624..580..732..696..732..686..604..830..856.1110..824..780..772
..672..580..628..702..654..668..588..516..552..666..756..760..864..814
..608..732..702..712..852..824..538..584..740..700..664..552..688..616
..648..696..654..852..676.1000..640..780.1364..878..942..686.1010..704
..722..732..668..824.1000..832..580..696..782..860.1112.1348.1560..932
..660..686..588..538..640..580..456..568..566..538..570..656..678..560
..552..604..516..584..780..696..568..568..646..572..572..684..594..520
..602..830..552..740.1364..782..566..646.1036..828.1118.1492..830..652
..728..856..666..700..878..860..538..572..828..704..754..984.1056..764
..596.1110..756..664..942.1112..570..572.1118..754..616..642..976..648
..552..824..760..552..686.1348..656..684.1492..984..642..696.1358..720
..620..780..864..688.1010.1560..678..594..830.1056..976.1358.2288.1030
..612..772..814..616..704..932..560..520..652..764..648..720.1030..664
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