

A183829


Number of (n+1) X 3 0..2 arrays with each element of every 2 X 2 subblock being the sum mod 3 of two others.


1



127, 823, 5323, 35755, 237671, 1598975, 10698847, 71897239, 482007015, 3236765167, 21714088791, 145764796623, 978116447511, 6565074294447, 44057430220231, 295694291697375, 1984444048131639, 13318411681021391
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OFFSET

1,1


COMMENTS

Column 2 of A183836.


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200


FORMULA

Empirical: a(n) = 8*a(n1) + 7*a(n2)  142*a(n3) + 246*a(n4) + 68*a(n5)  386*a(n6) + 176*a(n7) + 24*a(n8).
Empirical g.f.: x*(127  193*x  2150*x^2 + 5444*x^3  6*x^4  7906*x^5 + 4160*x^6 + 552*x^7) / ((1  x)*(1  7*x  14*x^2 + 128*x^3  118*x^4  186*x^5 + 200*x^6 + 24*x^7)).  Colin Barker, Apr 05 2018


EXAMPLE

Some solutions for 5 X 3:
..1..1..2....0..1..2....1..2..2....2..1..0....2..2..0....1..0..1....1..0..2
..0..2..1....2..1..0....1..0..1....0..1..2....1..1..1....1..2..1....2..1..2
..2..1..0....0..2..1....1..2..1....2..1..2....2..0..2....1..2..1....2..0..1
..1..2..1....1..2..1....0..1..2....0..1..2....1..2..1....2..0..1....1..1..2
..0..1..0....1..2..0....1..2..0....2..1..2....0..2..0....1..2..2....2..2..1


CROSSREFS

Cf. A183836.
Sequence in context: A204737 A060201 A140630 * A168487 A299057 A299818
Adjacent sequences: A183826 A183827 A183828 * A183830 A183831 A183832


KEYWORD

nonn


AUTHOR

R. H. Hardin, Jan 07 2011


STATUS

approved



