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A269034 Number of nX7 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

%I A269034 #4 Feb 18 2016 08:58:45
%S A269034 576,6912,198816,4998648,119790816,2783857776,63310818360,
%T A269034 1416701634552,31304407671636,684763778434512,14854833017622684,
%U A269034 320017408314705960,6853471478780510820,146027732878366085832,3097663460112852295020
%N A269034 Number of nX7 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
%C A269034 Column 7 of A269035.
%H A269034 R. H. Hardin, <a href="/A269034/b269034.txt">Table of n, a(n) for n = 1..210</a>
%F A269034 Empirical: a(n) = 82*a(n-1) -2779*a(n-2) +50254*a(n-3) -514677*a(n-4) +2743554*a(n-5) -2950648*a(n-6) -48609034*a(n-7) +245316224*a(n-8) -89432156*a(n-9) -2444502643*a(n-10) +5704858072*a(n-11) +7254972423*a(n-12) -41716035658*a(n-13) +18035762825*a(n-14) +132606292618*a(n-15) -178302990168*a(n-16) -171928095488*a(n-17) +491624257303*a(n-18) -70904009836*a(n-19) -621985038704*a(n-20) +477824279660*a(n-21) +281672875548*a(n-22) -522707244404*a(n-23) +119050620101*a(n-24) +190519380818*a(n-25) -140300285301*a(n-26) +10246766686*a(n-27) +24709126330*a(n-28) -9478840252*a(n-29) -368991021*a(n-30) +964165580*a(n-31) -172681320*a(n-32) -20355920*a(n-33) +9906636*a(n-34) -719568*a(n-35) -120720*a(n-36) +22272*a(n-37) -1024*a(n-38) for n>39
%e A269034 Some solutions for n=3
%e A269034 ..0..0..0..1..2..1..0. .1..2..2..1..2..1..0. .0..1..2..1..2..2..2
%e A269034 ..0..0..0..1..0..1..2. .2..1..2..1..2..1..0. .0..1..2..1..2..1..2
%e A269034 ..1..1..0..1..0..1..2. .0..1..2..1..0..1..2. .0..1..0..2..2..1..2
%Y A269034 Cf. A269035.
%K A269034 nonn
%O A269034 1,1
%A A269034 _R. H. Hardin_, Feb 18 2016