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A283199 Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. 1

%I

%S 0,36,868,16048,263232,4024168,59065412,842673912,11773250320,

%T 161892233968,2198435672418,29552995134884,393966089929078,

%U 5215183090921300,68625735079009304,898401203984951940

%N Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element.

%C Column 4 of A283203.

%H R. H. Hardin, <a href="/A283199/b283199.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -29*a(n-2) -174*a(n-3) -2976*a(n-4) -10280*a(n-5) -36327*a(n-6) -51166*a(n-7) -56733*a(n-8) +136728*a(n-9) +273529*a(n-10) +380780*a(n-11) -354170*a(n-12) -439798*a(n-13) +535820*a(n-14) -171074*a(n-15) -742999*a(n-16) +341418*a(n-17) +261472*a(n-18) -563536*a(n-19) -56145*a(n-20) +338242*a(n-21) -109804*a(n-22) -133254*a(n-23) +120176*a(n-24) +33588*a(n-25) -61637*a(n-26) +4672*a(n-27) +25732*a(n-28) -4460*a(n-29) -7460*a(n-30) +728*a(n-31) +1116*a(n-32) -32*a(n-33) -64*a(n-34)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283203.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 02 2017

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)