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A297983 Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 Jan 10 2018 07:20:47

%S 1,24,7,23,34,61,105,222,428,948,1975,4162,8801,18972,40777,87274,

%T 186628,400752,861195,1848299,3966219,8516004,18291312,39275134,

%U 84334723,181112426,388976228,835341271,1793949896,3852795878,8274644467

%N Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

%C Column 5 of A297986.

%H R. H. Hardin, <a href="/A297983/b297983.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +6*a(n-4) -9*a(n-5) -15*a(n-6) +2*a(n-7) -9*a(n-8) +6*a(n-9) +34*a(n-10) +45*a(n-11) +6*a(n-12) -21*a(n-13) -39*a(n-14) +2*a(n-15) -8*a(n-16) -38*a(n-17) -7*a(n-18) +26*a(n-19) -24*a(n-20) -48*a(n-21) +28*a(n-22) +23*a(n-23) -37*a(n-24) -4*a(n-25) +88*a(n-26) +34*a(n-27) -14*a(n-28) +7*a(n-29) +24*a(n-30) -2*a(n-31) -23*a(n-32) -6*a(n-33) -4*a(n-34) -3*a(n-35) -2*a(n-36) -2*a(n-37) for n>43

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297986.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 10 2018

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Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)