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A297596 Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1

%I #8 Mar 01 2019 14:53:14

%S 1,9,25,49,145,443,1141,3009,8455,23151,62211,169651,464469,1262947,

%T 3434407,9364725,25517397,69467533,189209921,515479315,1403998341,

%U 3823905513,10415880295,28371283095,77275911315,210482481315

%N Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

%H R. H. Hardin, <a href="/A297596/b297596.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + a(n-2) + 8*a(n-3) + 7*a(n-4) - 8*a(n-6) - 6*a(n-7).

%F Empirical g.f.: x*(1 + 8*x + 15*x^2 + 7*x^3 - 8*x^4 - 14*x^5 - 6*x^6) / (1 - x - x^2 - 8*x^3 - 7*x^4 + 8*x^6 + 6*x^7). - _Colin Barker_, Mar 01 2019

%e Some solutions for n=7:

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

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

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

%Y Row 3 of A297595.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 01 2018

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Last modified September 17 16:56 EDT 2024. Contains 375990 sequences. (Running on oeis4.)