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A258888 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum 1

%I #4 Jun 14 2015 10:15:56

%S 900,2304,4489,10680,23409,51188,104329,216395,430336,849760,1635841,

%T 3133971,5904900,11044072,20421361,37522132,68376361,123865010,

%U 222994489,399409023,711929124,1263316100,2233035025,3931870085,6900957184

%N Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum

%C Column 2 of A258894

%H R. H. Hardin, <a href="/A258888/b258888.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) -8*a(n-3) -2*a(n-5) -14*a(n-6) +34*a(n-7) +8*a(n-8) -8*a(n-9) +16*a(n-10) -58*a(n-11) -16*a(n-12) +14*a(n-13) -4*a(n-14) +48*a(n-15) +16*a(n-16) -6*a(n-17) -2*a(n-18) -18*a(n-19) -8*a(n-20) +2*a(n-23) +a(n-24) for n>27

%e Some solutions for n=4

%e ..1..1..0..1....0..1..0..0....1..1..0..0....1..1..0..1....1..0..1..0

%e ..1..0..0..0....1..0..1..1....1..1..0..1....1..0..0..0....1..0..1..1

%e ..1..0..0..1....0..0..0..1....1..0..1..0....0..0..0..1....0..1..0..1

%e ..1..0..0..0....0..0..0..1....1..0..0..1....0..0..0..1....1..0..1..1

%e ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1

%e ..1..0..1..1....0..0..1..1....1..0..1..1....0..0..1..1....0..0..0..1

%Y Cf. A258894

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 14 2015

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Last modified August 11 09:55 EDT 2024. Contains 375059 sequences. (Running on oeis4.)