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A232671 Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally 1

%I #4 Nov 27 2013 16:18:55

%S 212,3138,63632,1323984,26350948,532378308,10773984656,217145249724,

%T 4384228816944,88517485617660,1786475659945216,36062434969543892,

%U 727952626349243712,14693874074841954556,296605736453181963248

%N Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally

%C Column 2 of A232677

%H R. H. Hardin, <a href="/A232671/b232671.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +143*a(n-2) +2259*a(n-3) +4937*a(n-4) +537*a(n-5) -135233*a(n-6) -381639*a(n-7) -575862*a(n-8) +1562236*a(n-9) +4517962*a(n-10) +3839040*a(n-11) -6466486*a(n-12) -13678168*a(n-13) +2830292*a(n-14) +12543416*a(n-15) +501152*a(n-16) -3876392*a(n-17) -3294920*a(n-18) +1863872*a(n-19) -369088*a(n-20) +655936*a(n-21) -7552*a(n-22) -67328*a(n-23) -22528*a(n-24) +8192*a(n-25)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2013

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Last modified April 23 14:15 EDT 2024. Contains 371914 sequences. (Running on oeis4.)