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A258519 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically 1

%I

%S 512,2371,6516,16196,47704,156873,488240,1356489,3595084,9838222,

%T 27777116,77335445,208141440,551798439,1474962640,3975082026,

%U 10653614768,28234277048,74474840360,196928705327,521756834144,1378970429074

%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically

%C Column 1 of A258522

%H R. H. Hardin, <a href="/A258519/b258519.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -26*a(n-2) +44*a(n-3) -23*a(n-4) -56*a(n-5) -7*a(n-6) +480*a(n-7) -973*a(n-8) +412*a(n-9) +1761*a(n-10) -2196*a(n-11) -3393*a(n-12) +8720*a(n-13) -2593*a(n-14) -16840*a(n-15) +23470*a(n-16) +11156*a(n-17) -39087*a(n-18) +6704*a(n-19) +66632*a(n-20) -91824*a(n-21) -12160*a(n-22) +88000*a(n-23) -10048*a(n-24) -99584*a(n-25) +126720*a(n-26) -9216*a(n-27) -78848*a(n-28) +16384*a(n-29) +16384*a(n-30) for n>34

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A258522

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 01 2015

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Last modified June 20 09:40 EDT 2021. Contains 345162 sequences. (Running on oeis4.)