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A183999 Number of (n+1) X 6 0..2 arrays with all 2 X 2 subblock sums the same. 1

%I #8 Apr 09 2018 13:00:45

%S 2025,2691,3793,6111,10449,19935,39697,85431,190305,450111,1098433,

%T 2812551,7386129,20098095,55623217,157619511,451006785,1309524831,

%U 3821415073,11250418791,33202564209,98511527055,292616203537

%N Number of (n+1) X 6 0..2 arrays with all 2 X 2 subblock sums the same.

%C Column 5 of A184003.

%H R. H. Hardin, <a href="/A183999/b183999.txt">Table of n, a(n) for n = 1..200</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.: x*(2025 - 9459*x - 12353*x^2 + 104853*x^3 - 36882*x^4 - 347664*x^5 + 289692*x^6 + 354564*x^7 - 367416*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 6:

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

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

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

%Y Cf. A184003.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 08 2011

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Last modified June 10 13:58 EDT 2023. Contains 363205 sequences. (Running on oeis4.)