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A281712 Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 28 2017 13:43:18

%S 3,29,90,294,937,3166,10738,37285,129586,452042,1578499,5515546,

%T 19279612,67403955,235679364,824104430,2881741245,10077105830,

%U 35238715476,123227200603,430917662802,1506893871278,5269524537393,18427245321410

%N Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%C Column 5 of A281715.

%H R. H. Hardin, <a href="/A281712/b281712.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) -9*a(n-3) -17*a(n-4) +18*a(n-5) +45*a(n-6) +5*a(n-7) -46*a(n-8) -14*a(n-9) +102*a(n-10) -101*a(n-11) +167*a(n-12) -132*a(n-13) -151*a(n-14) +2*a(n-15) -214*a(n-16) +40*a(n-17) -115*a(n-18) -55*a(n-19) -37*a(n-20) -17*a(n-21) -2*a(n-22) -15*a(n-23) +4*a(n-24) for n>28

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281715.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 28 2017

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Last modified April 13 13:36 EDT 2024. Contains 371641 sequences. (Running on oeis4.)