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A232573 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 or antidiagonally 1

%I #4 Nov 26 2013 17:28:33

%S 72,1064,16316,265670,4252876,67979266,1090643352,17469440576,

%T 279889357176,4484766979158,71855180523860,1151291899304218,

%U 18446489829419748,295556353549647088,4735518134130583640

%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 or antidiagonally

%C Column 2 of A232579

%H R. H. Hardin, <a href="/A232573/b232573.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +133*a(n-2) +898*a(n-3) +1301*a(n-4) -5200*a(n-5) -10703*a(n-6) +3428*a(n-7) -1089631*a(n-8) -199930*a(n-9) +4385413*a(n-10) +20845860*a(n-11) +28031898*a(n-12) -220854540*a(n-13) -102914934*a(n-14) +1092711772*a(n-15) -376388671*a(n-16) -1898829704*a(n-17) +2499228555*a(n-18) -1362129714*a(n-19) -3015536791*a(n-20) +6548644648*a(n-21) +1241905557*a(n-22) -13074485456*a(n-23) +20315868387*a(n-24) -26549602146*a(n-25) +13961634587*a(n-26) -8938694500*a(n-27) +1010632952*a(n-28) +504496900*a(n-29) -528346112*a(n-30) +145246080*a(n-31) +2522156*a(n-32) -33648304*a(n-33) -14570624*a(n-34) +13149248*a(n-35) -3183872*a(n-36) +239616*a(n-37) for n>38

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)