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A303686 Number of nX4 0..1 arrays with every element unequal to 2, 3 or 4 king-move adjacent elements, with upper left element zero. 1

%I #4 Apr 28 2018 09:31:07

%S 0,18,20,138,343,1744,5563,23963,85439,343499,1279385,5002512,

%T 18966028,73327791,280007343,1077678731,4127070788,15855095931,

%U 60788926535,233363355500,895138948721,3435345789704,13179822216490,50575246236646

%N Number of nX4 0..1 arrays with every element unequal to 2, 3 or 4 king-move adjacent elements, with upper left element zero.

%C Column 4 of A303690.

%H R. H. Hardin, <a href="/A303686/b303686.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-2) -80*a(n-4) -37*a(n-5) +195*a(n-6) +139*a(n-7) -235*a(n-8) -254*a(n-9) +22*a(n-10) +175*a(n-11) +412*a(n-12) +300*a(n-13) -564*a(n-14) -853*a(n-15) +201*a(n-16) +822*a(n-17) +70*a(n-18) -251*a(n-19) +26*a(n-20) -139*a(n-21) -266*a(n-22) +225*a(n-23) +290*a(n-24) -140*a(n-25) -150*a(n-26) +24*a(n-27) +78*a(n-28) -16*a(n-29) -14*a(n-30) +4*a(n-31) for n>35

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303690.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 28 2018

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)