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%I #10 Feb 14 2024 19:50:14
%S 1,5,16,91,316,708,3572,14607,54710,196832,782926,3062632,11714725,
%T 44732791,173085686,668753382,2573295221,9902406595,38178807169,
%U 147173375542,566944981911,2184078533126,8416292695545,32431165832934
%N Number of n X 6 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself.
%H R. H. Hardin, <a href="/A196015/b196015.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = a(n-1) +7*a(n-2) +11*a(n-3) +44*a(n-4) -24*a(n-5) -237*a(n-6) -250*a(n-7) -219*a(n-8) +211*a(n-9) +584*a(n-10) -127*a(n-11) +1087*a(n-12) +2905*a(n-13) +2083*a(n-14) +1536*a(n-15) +22*a(n-16) -2414*a(n-17) -3256*a(n-18) -2665*a(n-19) -3346*a(n-20) +8268*a(n-21) +11410*a(n-22) -14170*a(n-23) +13403*a(n-24) -38028*a(n-25) -27873*a(n-26) +9341*a(n-27) -22367*a(n-28) +21475*a(n-29) -13978*a(n-30) -7695*a(n-31) +48470*a(n-32) -3495*a(n-33) -2854*a(n-34) +6746*a(n-35) -24008*a(n-36) -2108*a(n-37) -6882*a(n-38) -5945*a(n-39) +15575*a(n-40) +8171*a(n-41) +80*a(n-42) +1201*a(n-43) -813*a(n-44) -403*a(n-45) -488*a(n-46) -598*a(n-47) +10*a(n-48) -143*a(n-49) -14*a(n-50) +3*a(n-51) -4*a(n-52) +6*a(n-53) +a(n-54) for n>59.
%e Some solutions for n=4:
%e ..2..2..3..3..2..2....2..2..3..2..2..0....2..3..2..3..2..2....0..2..3..2..3..2
%e ..2..0..3..2..0..2....2..0..2..0..2..2....3..2..0..2..0..2....2..3..3..0..2..3
%e ..3..3..3..0..2..3....3..3..3..2..0..2....2..0..2..3..3..3....2..0..3..2..0..2
%e ..2..3..3..2..3..2....2..2..0..2..2..2....2..2..2..0..2..2....2..2..3..3..2..2
%Y Column 6 of A196017.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 26 2011
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