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A258539 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 equal to the central column sum 1

%I

%S 784,2916,8836,27889,81796,241081,682276,1915456,5262436,14341369,

%T 38613796,103347556,274763776,727812484,1921068900,5060045956,

%U 13303315600,34935348100,91655140516,240318589729,629813657664

%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 equal to the central column sum

%C Column 2 of A258545

%H R. H. Hardin, <a href="/A258539/b258539.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -36*a(n-2) +32*a(n-3) +154*a(n-4) -516*a(n-5) +399*a(n-6) +996*a(n-7) -2600*a(n-8) +1304*a(n-9) +3204*a(n-10) -5192*a(n-11) +547*a(n-12) +4342*a(n-13) -1404*a(n-14) -3448*a(n-15) -1178*a(n-16) +9156*a(n-17) -4109*a(n-18) -9736*a(n-19) +10960*a(n-20) +2160*a(n-21) -8008*a(n-22) -368*a(n-23) +5069*a(n-24) +2262*a(n-25) -7132*a(n-26) +688*a(n-27) +5958*a(n-28) -3388*a(n-29) -1987*a(n-30) +2276*a(n-31) +216*a(n-32) -776*a(n-33) -124*a(n-34) +312*a(n-35) +81*a(n-36) -150*a(n-37) -4*a(n-38) +40*a(n-39) -6*a(n-40) -4*a(n-41) +a(n-42) for n>44

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A258545

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2015

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Last modified May 17 09:20 EDT 2022. Contains 353741 sequences. (Running on oeis4.)