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| A206628
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Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.
(history;
published version)
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#8 by Alois P. Heinz at Sun Mar 04 16:10:54 EST 2018
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#7 by Colin Barker at Sun Mar 04 13:51:40 EST 2018
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#6 by Colin Barker at Sun Mar 04 13:51:29 EST 2018
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| NAME
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Number of (n+1)X2) X 2 0..2 arrays with every 2 X 2X33 or 3 X 3X22 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.
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| COMMENTS
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Column 1 of A206635.
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| FORMULA
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Empirical: a(n) = 8*a(n-1) +) + 8*a(n-2) +) + 6*a(n-3) for n>4.
Empirical g.f.: x*(14 + 9*x + 5*x^2 - 3*x^3) / (1 - 8*x - 8*x^2 - 6*x^3). - Colin Barker, Mar 04 2018
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| EXAMPLE
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Some solutions for n=4:
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| CROSSREFS
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Cf. A206635.
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| AUTHOR
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_R. H. Hardin_ _, Feb 10 2012
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| STATUS
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approved
editing
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#5 by Russ Cox at Sat Mar 31 12:37:12 EDT 2012
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| AUTHOR
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_R. H. Hardin (rhhardin(AT)att.net) _ Feb 10 2012
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Discussion
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| Sat Mar 31
| 12:37
| OEIS Server: https://oeis.org/edit/global/875
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#4 by Ron Hardin at Fri Feb 10 18:41:51 EST 2012
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#3 by Ron Hardin at Fri Feb 10 18:41:37 EST 2012
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| LINKS
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R. H. Hardin, <a href="/A206628/b206628.txt">Table of n, a(n) for n = 1..210</a>
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#2 by Ron Hardin at Fri Feb 10 18:41:14 EST 2012
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| NAME
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allocatedNumber of (n+1)X2 0..2 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..2 introduced in forrow Ronmajor Hardinorder
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| DATA
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14, 121, 1085, 9729, 87238, 782246, 7014246, 62895364, 563970356, 5057011236, 45345224920, 406601711384, 3645917557848, 32692225503376, 293144754758096, 2628571347438864, 23569882170595936, 211346496672826976
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| OFFSET
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1,1
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| COMMENTS
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Column 1 of A206635
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| FORMULA
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Empirical: a(n) = 8*a(n-1) +8*a(n-2) +6*a(n-3) for n>4
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| EXAMPLE
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Some solutions for n=4
..0..1....0..1....0..0....0..1....0..1....0..0....0..0....0..1....0..1....0..1
..0..2....0..0....1..1....2..0....2..0....0..0....0..1....1..1....0..2....0..2
..2..0....1..1....1..1....1..2....0..1....0..1....2..1....0..1....1..2....1..1
..0..2....1..0....1..0....2..0....2..2....0..1....2..0....2..2....2..1....1..2
..1..0....2..1....1..2....0..1....2..1....1..2....0..1....1..2....1..0....1..1
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| KEYWORD
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allocated
nonn
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| AUTHOR
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R. H. Hardin (rhhardin(AT)att.net) Feb 10 2012
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| STATUS
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approved
editing
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#1 by Ron Hardin at Fri Feb 10 18:37:34 EST 2012
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| NAME
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allocated for Ron Hardin
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| KEYWORD
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allocated
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| STATUS
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approved
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