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A258544 Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum. 1

%I #6 May 11 2023 14:30:31

%S 234848,682276,956736,2414916,3826716,8773444,15444224,34739236,

%T 68785192,159314884,350720544,846460836,2012239968,5024257924,

%U 12517516032,31952992516,81660135036,211086951364,546410190784,1421755755876

%N Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum.

%C Column 7 of A258545.

%H R. H. Hardin, <a href="/A258544/b258544.txt">Table of n, a(n) for n = 1..156</a>

%F Empirical: a(n) = 3*a(n-1) +13*a(n-2) -42*a(n-3) -71*a(n-4) +255*a(n-5) +210*a(n-6) -885*a(n-7) -355*a(n-8) +1950*a(n-9) +305*a(n-10) -2865*a(n-11) +2865*a(n-13) -305*a(n-14) -1950*a(n-15) +355*a(n-16) +885*a(n-17) -210*a(n-18) -255*a(n-19) +71*a(n-20) +42*a(n-21) -13*a(n-22) -3*a(n-23) +a(n-24) for n>27.

%e Some solutions for n=1

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

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

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

%Y Cf. A258545.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2015

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)