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A296125 Number of nX5 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s. 1

%I

%S 1,33,107,287,2098,9344,35733,182881,859151,3752449,17718898,83133830,

%T 379861714,1768819146,8263436507,38298070989,178230046892,

%U 831322027550,3869744621937,18028069104813,84070919008122,391898815331194

%N Number of nX5 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s.

%C Column 5 of A296128.

%H R. H. Hardin, <a href="/A296125/b296125.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -10*a(n-2) +50*a(n-3) -343*a(n-4) +344*a(n-5) -618*a(n-6) +6047*a(n-7) -5744*a(n-8) +4077*a(n-9) -57564*a(n-10) +55295*a(n-11) -21106*a(n-12) +335248*a(n-13) -318626*a(n-14) +84293*a(n-15) -1236170*a(n-16) +1106930*a(n-17) -187162*a(n-18) +2867721*a(n-19) -2269772*a(n-20) +74097*a(n-21) -4021798*a(n-22) +2511232*a(n-23) +527543*a(n-24) +3090935*a(n-25) -1014833*a(n-26) -1021724*a(n-27) -995912*a(n-28) -447310*a(n-29) +634272*a(n-30) +10000*a(n-31) +371548*a(n-32) -67104*a(n-33) +3168*a(n-34) +12608*a(n-35) -3840*a(n-36) -8560*a(n-37) +128*a(n-38) +256*a(n-39)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296128.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 05 2017

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Last modified September 20 22:20 EDT 2021. Contains 347596 sequences. (Running on oeis4.)