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A297521 Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. 1

%I #4 Dec 31 2017 09:55:57

%S 1,11,49,128,363,1408,5079,16104,52308,180643,616299,2045926,6825942,

%T 23061538,77737769,260557844,874178204,2940510392,9886875406,

%U 33203436061,111529068093,374823089239,1259590086969,4231808883913,14217990538402

%N Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.

%C Row 3 of A297519.

%H R. H. Hardin, <a href="/A297521/b297521.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +10*a(n-3) +37*a(n-4) +23*a(n-5) +21*a(n-6) -25*a(n-7) -40*a(n-8) -44*a(n-9) +17*a(n-11) +5*a(n-12)

%e Some solutions for n=7

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

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

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

%Y Cf. A297519.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 31 2017

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)