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A184002 Number of (n+1) X 9 0..2 arrays with all 2 X 2 subblock sums the same. 1

%I

%S 35535,40041,47031,61125,85431,134853,227319,418461,799815,1612581,

%T 3338151,7206765,16031991,37247253,89664279,225444381,586169895,

%U 1579364421,4360148871,12326941005,35353745751,102812027253,301213506039

%N Number of (n+1) X 9 0..2 arrays with all 2 X 2 subblock sums the same.

%C Column 8 of A184003.

%H R. H. Hardin, <a href="/A184002/b184002.txt">Table of n, a(n) for n = 1..46</a>

%F Empirical: a(n) = 6*a(n-1) - 60*a(n-3) + 85*a(n-4) + 150*a(n-5) - 360*a(n-6) + 396*a(n-8) - 216*a(n-9).

%F Empirical g.f.: 3*x*(11845 - 57723*x - 64405*x^2 + 637013*x^3 - 299778*x^4 - 2096536*x^5 + 1958172*x^6 + 2114964*x^7 - 2396952*x^8) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 2*x^2)*(1 - 3*x^2)*(1 - 6*x^2)). - _Colin Barker_, Apr 09 2018

%e Some solutions for 3 X 9:

%e ..1..2..0..1..1..0..0..2..0....0..0..2..1..1..2..2..1..0

%e ..0..0..1..1..0..2..1..0..1....2..2..0..1..1..0..0..1..2

%e ..1..2..0..1..1..0..0..2..0....0..0..2..1..1..2..2..1..0

%Y Cf. A184003.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 08 2011

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Last modified January 28 14:40 EST 2023. Contains 359895 sequences. (Running on oeis4.)