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A295981 Number of nX4 0..1 arrays with each 1 adjacent to 2 or 3 king-move neighboring 1s. 1

%I #4 Dec 01 2017 15:31:16

%S 1,28,110,518,3851,21577,124879,764482,4511480,26744446,159677743,

%T 948805027,5641302561,33572029290,199666287160,1187596390882,

%U 7064536068265,42020681155895,249946802006641,1486752105918248

%N Number of nX4 0..1 arrays with each 1 adjacent to 2 or 3 king-move neighboring 1s.

%C Column 4 of A295985.

%H R. H. Hardin, <a href="/A295981/b295981.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +26*a(n-3) -179*a(n-4) +42*a(n-5) +130*a(n-6) +641*a(n-7) -279*a(n-8) -739*a(n-9) -401*a(n-10) -138*a(n-11) +816*a(n-12) +647*a(n-13) +2430*a(n-14) -801*a(n-15) -2367*a(n-16) +603*a(n-17) +742*a(n-18) -583*a(n-19) +1231*a(n-20) -74*a(n-21) -471*a(n-22) +479*a(n-23) +53*a(n-24) -161*a(n-25) +48*a(n-26) -4*a(n-27)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A295985.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 01 2017

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Last modified April 23 19:56 EDT 2024. Contains 371916 sequences. (Running on oeis4.)