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%I #6 Jan 19 2015 13:10:05
%S 709704,1786831,4928792,13179071,9470400,17762028,31663440,40874791,
%T 67588814,114752167,187236938,308804212,504175746,814016078,
%U 1308165346,2082298220,3276474924,5108994892,7891481786,12067402454,18266075120
%N Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically
%C Column 7 of A253935
%H R. H. Hardin, <a href="/A253934/b253934.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A253934/a253934.txt">Empirical quasipolynomial</a>
%F Empirical: a(n) = 10*a(n-1) -47*a(n-2) +140*a(n-3) -296*a(n-4) +452*a(n-5) -438*a(n-6) +24*a(n-7) +915*a(n-8) -2198*a(n-9) +3243*a(n-10) -3224*a(n-11) +1503*a(n-12) +1890*a(n-13) -6025*a(n-14) +9272*a(n-15) -9928*a(n-16) +7000*a(n-17) -782*a(n-18) -7052*a(n-19) +13941*a(n-20) -17350*a(n-21) +15759*a(n-22) -9296*a(n-23) -282*a(n-24) +10196*a(n-25) -17562*a(n-26) +20272*a(n-27) -17562*a(n-28) +10196*a(n-29) -282*a(n-30) -9296*a(n-31) +15759*a(n-32) -17350*a(n-33) +13941*a(n-34) -7052*a(n-35) -782*a(n-36) +7000*a(n-37) -9928*a(n-38) +9272*a(n-39) -6025*a(n-40) +1890*a(n-41) +1503*a(n-42) -3224*a(n-43) +3243*a(n-44) -2198*a(n-45) +915*a(n-46) +24*a(n-47) -438*a(n-48) +452*a(n-49) -296*a(n-50) +140*a(n-51) -47*a(n-52) +10*a(n-53) -a(n-54) for n>87
%F Empirical polynomial of degree 17 plus a quasipolynomial of degree 7 with period 24 for n>33 (see link above)
%e Some solutions for n=1
%e ..0..0..0..0..0..0..1..1..1....0..0..0..0..1..0..1..0..1
%e ..0..0..0..1..1..1..1..1..1....0..1..1..1..1..0..1..0..0
%e ..1..0..0..1..0..1..1..1..1....1..1..0..0..0..1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2015
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