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%I #4 Jun 02 2015 09:16:39
%S 512,2812,2812,14184,16473,14184,65548,92996,85259,65548,294960,
%T 523452,523716,342157,294960,1302500,2927601,3133384,1455282,1323419,
%U 1302500,5646340,16010949,18460629,6505920,3806582,5390288,5646340,24197932
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C .......512.......2812......14184......65548.....294960.....1302500......5646340
%C ......2812......16473......92996.....523452....2927601....16010949.....85453855
%C .....14184......85259.....523716....3133384...18460629...106485657....606576800
%C .....65548.....342157....1455282....6505920...27337100...112691334....455126938
%C ....294960....1323419....3806582...16029944...65947572...288227428...1319588040
%C ...1302500....5390288...11711440...49299000..159909048...592438330...2229175182
%C ...5646340...22067757...35610562..161983800..376000912..1541134768...6279181504
%C ..24197932...92613188..114007482..588975448.1197367724..5755957944..24590578112
%C .102910460..396688542..361659778.2269798888.3293371180.16756864216..74615867948
%C .435448220.1711246125.1120640520.8629849032.8405740372.56699546024.254672251620
%H R. H. Hardin, <a href="/A258530/b258530.txt">Table of n, a(n) for n = 1..1105</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 17]
%F k=2: [order 35] for n>40
%F k=3: [order 15] for n>23
%F k=4: [order 16] for n>25
%F k=5: [order 16] for n>25
%F k=6: [order 16] for n>26
%F k=7: [order 19] for n>30
%F Empirical for row n:
%F n=1: [same linear recurrence of order 17]
%F n=2: [order 47] for n>52
%F n=3: [order 52] for n>58
%F n=4: [order 63] for n>76
%F n=5: [order 61] for n>77
%F n=6: [order 71] for n>90
%e Some solutions for n=2 k=4
%e ..0..0..0..1..1..0....0..1..0..0..0..1....1..0..0..0..0..1....0..0..0..0..0..1
%e ..0..0..0..1..1..0....0..1..1..1..0..0....0..0..0..1..1..1....0..0..1..1..1..1
%e ..1..1..0..0..1..0....1..1..0..0..1..0....0..1..0..1..1..1....0..1..0..0..1..1
%e ..1..1..1..0..0..1....0..1..1..1..0..0....1..0..1..1..0..1....0..0..1..0..1..0
%Y Column 1 and row 1 are A254915
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 02 2015
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