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A277654 Number of nX3 0..2 arrays with every element equal to some element at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2. 1

%I #4 Oct 26 2016 07:40:50

%S 0,1,4,47,356,2928,23375,189336,1527478,12337033,99602551,804255016,

%T 6493758388,52432856602,423359381522,3418341656804,27600793196651,

%U 222857733607580,1799425381845099,14529142393886177,117312993383783121

%N Number of nX3 0..2 arrays with every element equal to some element at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

%C Column 3 of A277659.

%H R. H. Hardin, <a href="/A277654/b277654.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -13*a(n-2) -35*a(n-3) +149*a(n-4) -336*a(n-5) +484*a(n-6) +1398*a(n-7) -4678*a(n-8) +2229*a(n-9) +6806*a(n-10) -11958*a(n-11) +8297*a(n-12) -1329*a(n-13) -2425*a(n-14) +1660*a(n-15) -214*a(n-16) +36*a(n-17) +12*a(n-18) -284*a(n-19) +338*a(n-20) -52*a(n-21) -104*a(n-22) +40*a(n-23)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A277659.

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 26 2016

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