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A203829
Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.
1
225, 1971, 17289, 151659, 1330353, 11669859, 102368025, 897972507, 7877016513, 69097203603, 606120799401, 5316892787403, 46639793487825, 409124355815619, 3588839615364921, 31481307826653051, 276154091209147617
OFFSET
1,1
COMMENTS
Column 2 of A203835.
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) -2*a(n-2).
Conjectures from Colin Barker, Jun 05 2018: (Start)
G.f.: 9*x*(25 - 6*x) / (1 - 9*x + 2*x^2).
a(n) = (9*2^(-1-n)*((9-sqrt(73))^n*(-23+3*sqrt(73)) + (9+sqrt(73))^n*(23+3*sqrt(73)))) / sqrt(73).
(End)
EXAMPLE
Some solutions for n=4:
..1..1..2....0..0..2....2..1..0....0..0..2....1..1..2....2..2..2....2..0..1
..0..1..1....0..0..0....0..2..1....0..0..0....1..1..1....1..2..0....0..0..0
..2..0..1....0..1..0....1..0..2....1..0..0....1..1..1....2..2..2....2..0..1
..1..2..0....0..0..1....1..1..0....1..1..0....0..1..2....1..2..1....2..2..0
..0..1..2....0..2..0....2..1..1....0..1..1....2..0..1....2..0..2....2..0..0
CROSSREFS
Cf. A203835.
Sequence in context: A272674 A242381 A076395 * A105925 A014771 A184878
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2012
STATUS
approved