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A283127 Number of nX5 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. 1

%I

%S 32,768,16818,376359,8402216,187671790,4191671248,93617080958,

%T 2090880805128,46698565884588,1042983688447838,23294398631499904,

%U 520266066259502124,11619822622276289509,259521591422934396449

%N Number of nX5 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors.

%C Column 5 of A283130.

%H R. H. Hardin, <a href="/A283127/b283127.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +103*a(n-2) +1526*a(n-3) +6148*a(n-4) +27840*a(n-5) +5851*a(n-6) -120272*a(n-7) -940182*a(n-8) -38234*a(n-9) +4715758*a(n-10) +737530*a(n-11) -14044414*a(n-12) -2699973*a(n-13) +32371462*a(n-14) +9082164*a(n-15) -56566787*a(n-16) -23532110*a(n-17) +77029254*a(n-18) +47408156*a(n-19) -78413975*a(n-20) -71340489*a(n-21) +48989832*a(n-22) +71490202*a(n-23) +6772752*a(n-24) -37409012*a(n-25) -24597775*a(n-26) -23330724*a(n-27) +8942246*a(n-28) +6047622*a(n-29) +9782882*a(n-30) +2109478*a(n-31) +113933*a(n-32) +1546866*a(n-33) +612043*a(n-34) +726390*a(n-35) -309052*a(n-36) +53481*a(n-37) -28176*a(n-38) +9004*a(n-39) -21877*a(n-40) -1777*a(n-41) +1106*a(n-42) -296*a(n-43) +137*a(n-44) -60*a(n-45) +72*a(n-46) +4*a(n-47) -4*a(n-48)

%e Some solutions for n=3

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

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

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

%Y Cf. A283130.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2017

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Last modified January 28 18:56 EST 2022. Contains 350657 sequences. (Running on oeis4.)