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 A297515 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. 1

%I #4 Dec 31 2017 09:51:15

%S 4,33,128,624,3383,16173,80436,406779,2013490,10037118,50164575,

%T 249805967,1245550598,6212873729,30971037656,154425242048,

%U 770028394901,3839281512465,19143040999144,95449950894167,475918812028350

%N Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.

%C Column 4 of A297519.

%H R. H. Hardin, <a href="/A297515/b297515.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +3*a(n-2) +38*a(n-3) -124*a(n-4) -55*a(n-5) -385*a(n-6) +1030*a(n-7) +135*a(n-8) +1086*a(n-9) -2873*a(n-10) +350*a(n-11) -325*a(n-12) +1435*a(n-13) -1201*a(n-14) +1602*a(n-15) -132*a(n-16) +5*a(n-17) -1360*a(n-18) +170*a(n-19) +465*a(n-20) +467*a(n-21) -174*a(n-22) +84*a(n-23) -146*a(n-24) -92*a(n-25) -75*a(n-26) +17*a(n-27) +27*a(n-28) +18*a(n-29) -a(n-30) +a(n-31) -a(n-32)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297519.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2017

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Last modified September 24 22:14 EDT 2023. Contains 365582 sequences. (Running on oeis4.)