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A295915 Number of nX5 0..1 arrays with each 1 adjacent to 0 or 3 king-move neighboring 1s. 1

%I #4 Nov 29 2017 18:14:57

%S 13,60,337,1880,10290,56955,314044,1732883,9562608,52762665,291142893,

%T 1606482609,8864368984,48912478517,269892775507,1489234149184,

%U 8217404544373,45342593611494,250194667755280,1380542367891973

%N Number of nX5 0..1 arrays with each 1 adjacent to 0 or 3 king-move neighboring 1s.

%C Column 5 of A295918.

%H R. H. Hardin, <a href="/A295915/b295915.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +15*a(n-2) +102*a(n-3) -342*a(n-4) -1512*a(n-5) -3295*a(n-6) +13427*a(n-7) +47860*a(n-8) +42567*a(n-9) -240345*a(n-10) -621149*a(n-11) -140019*a(n-12) +1975855*a(n-13) +3017471*a(n-14) -1228175*a(n-15) -5445207*a(n-16) -1693493*a(n-17) +6520443*a(n-18) -6122855*a(n-19) -3746602*a(n-20) +5507184*a(n-21) +2158920*a(n-22) +5052409*a(n-23) -2505685*a(n-24) -15612775*a(n-25) -6104943*a(n-26) +16537300*a(n-27) -1244574*a(n-28) -2319152*a(n-29) -483988*a(n-30) +1004084*a(n-31) -258602*a(n-32) -120112*a(n-33) +129320*a(n-34) +67468*a(n-35) +4144*a(n-36) -21040*a(n-37) -4240*a(n-38)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A295918.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2017

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Last modified September 17 03:10 EDT 2024. Contains 375984 sequences. (Running on oeis4.)