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%I #6 Mar 09 2023 17:29:28
%S 1478,1696,4908,13857,43838,148202,496995,1676288,5721657,19514341,
%T 66487235,226880548,774405937,2642043704,9015737766,30767900439,
%U 104997515770,358293959918,1222728062406,4172538306678,14239196910937
%N Number of (n+2) X (5+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.
%C Column 5 of A255792.
%H R. H. Hardin, <a href="/A255789/b255789.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +15*a(n-2) -12*a(n-3) -26*a(n-4) -22*a(n-5) -149*a(n-6) +263*a(n-7) -235*a(n-8) +750*a(n-9) +2565*a(n-10) -2680*a(n-11) -3575*a(n-12) -6308*a(n-13) +8830*a(n-14) +10286*a(n-15) -22579*a(n-16) +15160*a(n-17) +12687*a(n-18) +17926*a(n-19) -25254*a(n-20) -48478*a(n-21) +69711*a(n-22) -52620*a(n-23) -11387*a(n-24) -27710*a(n-25) +42387*a(n-26) +107933*a(n-27) -126791*a(n-28) +111956*a(n-29) -34172*a(n-30) +8931*a(n-31) -19311*a(n-32) -113010*a(n-33) +112675*a(n-34) -126551*a(n-35) +93191*a(n-36) -28662*a(n-37) +22750*a(n-38) +69857*a(n-39) -70146*a(n-40) +61175*a(n-41) -64917*a(n-42) +33750*a(n-43) -35940*a(n-44) +18409*a(n-45) +1330*a(n-46) -12626*a(n-47) +30555*a(n-48) -33289*a(n-49) +22770*a(n-50) -13239*a(n-51) +973*a(n-52) +5312*a(n-53) -5890*a(n-54) +5302*a(n-55) -2446*a(n-56) +812*a(n-57) -52*a(n-58) -288*a(n-59) +152*a(n-60) -72*a(n-61) +24*a(n-62) for n>68.
%e Some solutions for n=4
%e ..1..0..1..0..1..0..1....1..0..1..0..1..0..1....1..0..1..0..1..1..1
%e ..0..1..0..1..1..1..1....0..1..0..1..0..1..0....1..1..0..1..0..1..0
%e ..1..1..1..0..1..0..1....1..0..1..0..1..0..1....1..1..1..0..1..0..1
%e ..0..1..0..1..0..1..0....0..1..0..1..0..1..1....0..1..1..1..0..1..0
%e ..1..0..1..0..1..1..1....1..0..1..0..1..1..1....1..0..1..1..1..0..1
%e ..1..1..0..1..0..1..0....0..1..1..1..1..1..0....0..1..0..1..1..1..0
%Y Cf. A255792
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 06 2015
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