A281655 - OEIS

A281655

Number of 3Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%I #4 Jan 26 2017 07:22:40

%S 0,46,985,7986,67884,519656,3804074,27188104,190081944,1307551136,

%T 8883115770,59735869460,398338301812,2637611297824,17360607113512,

%U 113677820297300,741027989329060,4811486509126868,31131965964391810

%N Number of 3Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Row 3 of A281653.

%H R. H. Hardin, <a href="/A281655/b281655.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -44*a(n-2) +106*a(n-3) -394*a(n-4) +558*a(n-5) -1815*a(n-6) +1258*a(n-7) -3975*a(n-8) +1226*a(n-9) -3167*a(n-10) -2598*a(n-11) +4765*a(n-12) +1286*a(n-13) -710*a(n-14) +3446*a(n-15) +4320*a(n-16) -2580*a(n-17) -2693*a(n-18) +836*a(n-19) -456*a(n-20) -1676*a(n-21) -92*a(n-22) +1000*a(n-23) +316*a(n-24) -160*a(n-25) -64*a(n-26) for n>29

%e Some solutions for n=4

%e ..0..1..0..1. .0..0..1..0. .0..1..0..1. .0..1..1..2. .0..1..0..1

%e ..2..0..2..1. .2..1..1..2. .0..2..1..1. .2..2..1..0. .0..0..2..2

%e ..2..0..1..2. .2..0..1..0. .1..2..0..1. .0..0..1..2. .2..1..1..0

%Y Cf. A281653.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 26 2017