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A208256 Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors 1

%I #5 Mar 31 2012 12:37:22

%S 122,49152,19566912,7782199824,3094987890864,1230875651548608,

%T 489518751475118880,194681408759751734640,77424717204435400421520,

%U 30791778589670316720418080,12245877840416847143166208896

%N Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

%C Column 6 of A208258

%H R. H. Hardin, <a href="/A208256/b208256.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 483*a(n-1) -37260*a(n-2) +1406078*a(n-3) -32825379*a(n-4) +522499249*a(n-5) -5935275892*a(n-6) +48955308778*a(n-7) -292045494268*a(n-8) +1227794612112*a(n-9) -3438890819616*a(n-10) +5747863337984*a(n-11) -4538037229568*a(n-12) +808526872576*a(n-13) +1304252383232*a(n-14) -1133951057920*a(n-15) +395539644416*a(n-16) -52613349376*a(n-17) for n>18

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2012

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Last modified August 19 03:19 EDT 2024. Contains 375284 sequences. (Running on oeis4.)