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A231941 Number of 2 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. 1

%I #6 Dec 26 2023 23:44:51

%S 16,84,668,5070,42104,326010,2511252,19430715,152135920,1190465282,

%T 9289762532,72404777123,564819519982,4409093385085,34418864675001,

%U 268626308705377,2096420912100320,16362151427663928,127710770440282286

%N Number of 2 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

%C Row 2 of A231940.

%H R. H. Hardin, <a href="/A231941/b231941.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -86*a(n-2) +190*a(n-3) +319*a(n-4) -4988*a(n-5) +10423*a(n-6) +3869*a(n-7) -14328*a(n-8) +132748*a(n-9) -44748*a(n-10) -130980*a(n-11) -63336*a(n-12) -493560*a(n-13) -373248*a(n-14) -51840*a(n-15).

%e Some solutions for n=7

%e ..0..0..0..0..0..2..3....0..0..3..0..1..0..0....0..0..2..2..1..1..2

%e ..2..0..0..0..3..1..1....0..0..0..0..0..2..0....0..0..1..3..1..1..3

%Y Cf. A231940.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013

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Last modified September 7 02:35 EDT 2024. Contains 375728 sequences. (Running on oeis4.)