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%I #4 Dec 18 2014 06:59:00
%S 1262,1515,1515,2055,1644,2055,3326,3980,3980,3326,5508,9277,11476,
%T 9277,5508,9526,25197,28877,28877,25197,9526,17709,76113,83016,68163,
%U 83016,76113,17709,33357,231372,252551,188123,188123,252551,231372,33357,62632
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
%C Table starts
%C ...1262....1515.....2055.....3326......5508......9526......17709.......33357
%C ...1515....1644.....3980.....9277.....25197.....76113.....231372......698936
%C ...2055....3980....11476....28877.....83016....252551.....767176.....2326656
%C ...3326....9277....28877....68163....188123....584827....1808374.....5522057
%C ...5508...25197....83016...188123....505129...1629431....5219625....16419574
%C ...9526...76113...252551...584827...1629431...5381168...17585706....57799811
%C ..17709..231372...767176..1808374...5219625..17585706...59046724...209788816
%C ..33357..698936..2326656..5522057..16419574..57799811..209788816...864964151
%C ..62632.2121821..7067545.16698268..50479820.185530073..715958046..3397105337
%C .119155.6483996.21555438.50754770.156986808.599739636.2479308557.14447364814
%H R. H. Hardin, <a href="/A252514/b252514.txt">Table of n, a(n) for n = 1..478</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 61] for n>68
%F k=2: [order 34] for n>41
%F k=3: [order 42] for n>47
%F k=4: [order 45] for n>50
%F k=5: [order 66] for n>71
%e Some solutions for n=4 k=4
%e ..3..0..2..0..0..2....2..1..3..1..2..2....3..2..2..2..3..2....1..3..1..1..0..1
%e ..1..1..0..1..1..0....2..3..1..3..1..2....1..3..1..3..1..2....1..0..1..1..0..1
%e ..1..1..0..1..1..0....3..1..3..1..3..2....3..1..3..1..3..1....0..2..0..0..2..3
%e ..0..0..2..3..0..2....1..3..1..3..1..3....1..3..1..3..1..3....1..0..1..1..0..1
%e ..1..1..0..1..1..0....3..1..3..1..3..1....2..1..3..1..3..2....1..0..1..1..3..1
%e ..1..1..0..1..1..0....1..2..2..2..1..3....2..3..1..3..2..2....0..2..0..0..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 18 2014
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