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%I #4 Jun 02 2015 09:18:22
%S 14184,85259,523716,3133384,18460629,106485657,606576800,3416159956,
%T 19226604054,108024515196,607457990432,3414790673649,19206077118085,
%U 108039270365307,607889560061188,3420580168661212,19249140658467974
%N Number of (3+2)X(n+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 Row 3 of A258530
%H R. H. Hardin, <a href="/A258532/b258532.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -38*a(n-2) -32*a(n-3) +379*a(n-4) -1168*a(n-5) +2072*a(n-6) +4756*a(n-7) -10786*a(n-8) -29864*a(n-9) -1812*a(n-10) +80000*a(n-11) -657762*a(n-12) +3299328*a(n-13) +2102472*a(n-14) -12998648*a(n-15) -116749*a(n-16) -30229796*a(n-17) -68744086*a(n-18) +148872448*a(n-19) +1158685607*a(n-20) -444634768*a(n-21) -3636584816*a(n-22) +624070596*a(n-23) -8066581456*a(n-24) +11290519264*a(n-25) +53521763936*a(n-26) -16292626368*a(n-27) -104210784704*a(n-28) -146719887872*a(n-29) +245882904832*a(n-30) +254599577600*a(n-31) -383082742784*a(n-32) +645842774016*a(n-33) -801745596416*a(n-34) -1232390627328*a(n-35) +2690572042240*a(n-36) -1429994373120*a(n-37) -125407264768*a(n-38) +2861540048896*a(n-39) -4771857039360*a(n-40) +1722833960960*a(n-41) +2003257262080*a(n-42) -3508692582400*a(n-43) +3703117447168*a(n-44) -1069874675712*a(n-45) -1947868332032*a(n-46) +2181642059776*a(n-47) -1265069195264*a(n-48) +267093278720*a(n-49) +576062488576*a(n-50) -541165879296*a(n-51) +137438953472*a(n-52) for n>58
%e Some solutions for n=2
%e ..0..0..0..0....0..0..1..1....0..0..1..1....0..1..1..0....1..0..0..1
%e ..0..0..1..0....0..0..0..1....1..0..1..1....1..1..0..1....0..0..0..0
%e ..0..0..1..0....1..1..1..1....1..0..0..1....0..0..1..1....0..1..1..1
%e ..0..1..1..1....0..0..1..0....1..1..1..0....0..0..1..0....0..1..0..1
%e ..0..1..1..1....1..1..1..0....1..1..0..0....1..1..0..0....0..0..0..1
%Y Cf. A258530
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 02 2015
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