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A283541 Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 10 2017 09:29:00

%S 44,537,10069,167920,2905717,49760703,854841910,14672363665,

%T 251901309671,4324419947902,74239477396709,1274497943112719,

%U 21879841688275026,375620233563570591,6448427921064594633,110702824503136846908

%N Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%C Column 6 of A283543.

%H R. H. Hardin, <a href="/A283541/b283541.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) +58*a(n-2) -419*a(n-3) +549*a(n-4) +9774*a(n-5) -8488*a(n-6) -118308*a(n-7) -78845*a(n-8) +478855*a(n-9) +460388*a(n-10) +780487*a(n-11) -1463834*a(n-12) -3318118*a(n-13) +1351800*a(n-14) +6126749*a(n-15) -1699911*a(n-16) -5411438*a(n-17) -2127087*a(n-18) +2727723*a(n-19) +7791596*a(n-20) -8102395*a(n-21) -4823004*a(n-22) +8249065*a(n-23) +1316588*a(n-24) -3377260*a(n-25) +134761*a(n-26) +308508*a(n-27)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified September 9 19:10 EDT 2024. Contains 375765 sequences. (Running on oeis4.)