A283547 - OEIS

%I #6 Sep 13 2023 02:22:41

%S 64,865,11903,212441,3109801,49760703,778500603,12138454363,

%T 190697594765,2981305027073,46699964946725,731254394756071,

%U 11448471780244973,179273800555060661,2806951682109450395,43951230865695709519

%N Number of 6 X n 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%C Row 6 of A283543.

%H R. H. Hardin, <a href="/A283547/b283547.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +112*a(n-2) +1000*a(n-3) +1188*a(n-4) +8430*a(n-5) -25129*a(n-6) +130799*a(n-7) -1528560*a(n-8) +4041468*a(n-9) -17343998*a(n-10) +42451694*a(n-11) -62908231*a(n-12) +202909175*a(n-13) -27180540*a(n-14) +102297648*a(n-15) -429724674*a(n-16) -1163099755*a(n-17) -2068007852*a(n-18) -2469159*a(n-19) -231955725*a(n-20) +1878145748*a(n-21) +2038664058*a(n-22) +7678354062*a(n-23) +3388259352*a(n-24) -128042672*a(n-25) -2578156694*a(n-26) -1566987104*a(n-27) -2871003712*a(n-28) -5800943360*a(n-29) -2846517248*a(n-30) -1244282880*a(n-31) -180224*a(n-32).

%e Some solutions for n=3

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

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

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

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

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

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

%Y Cf. A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017