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A232841 Number of (2+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally 1

%I #4 Nov 30 2013 18:57:54

%S 16,312,6664,67718,1051216,17686598,265341016,3829830598,58936793732,

%T 903190534810,13541666159416,204173378654170,3101530941597892,

%U 46929309853930974,708692945714600096,10722849759496524134

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

%C Row 2 of A232839

%H R. H. Hardin, <a href="/A232841/b232841.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +13*a(n-2) +1133*a(n-3) +5465*a(n-4) -11067*a(n-5) -8377*a(n-6) -457511*a(n-7) -535176*a(n-8) -831303*a(n-9) +1546174*a(n-10) +17664008*a(n-11) +47557034*a(n-12) +7172876*a(n-13) +11021048*a(n-14) -103074156*a(n-15) -445453528*a(n-16) -148653360*a(n-17) -187870536*a(n-18) +993637760*a(n-19) +688136704*a(n-20) -1921134496*a(n-21) -775706432*a(n-22) +1313003264*a(n-23) +1084039168*a(n-24) +57272064*a(n-25) -707039232*a(n-26) +119319552*a(n-27) +164847616*a(n-28) -57176064*a(n-29) +47677440*a(n-30) -26951680*a(n-31) -17891328*a(n-32) -1572864*a(n-33)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)