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A207043
Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases.
1
81, 150, 441, 1416, 4371, 13386, 41589, 128700, 397335, 1229310, 3802377, 11755344, 36352875, 112421490, 347633853, 1075001508, 3324303039, 10279835430, 31788718257, 98301693240, 303982182099, 940016132634, 2906850556773
OFFSET
1,1
COMMENTS
Column 1 of A207050.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-2) + 8*a(n-3) - 2*a(n-4) for n>5.
Empirical g.f.: 3*x*(27 - 4*x + 20*x^2 - 88*x^3 + 20*x^4) / (1 - 2*x - x^2 - 8*x^3 + 2*x^4). - Colin Barker, Jun 17 2018
EXAMPLE
Some solutions for n=4:
2 0 1 1 0 2 2 1 2 1 0 0 1 0 0 2 2 1 2 1
2 2 1 0 0 1 1 1 1 1 2 0 0 0 0 0 2 0 0 0
2 2 2 2 0 1 1 1 1 1 2 2 0 0 0 0 0 0 0 0
2 0 2 2 0 0 0 1 0 0 2 2 0 2 1 2 0 0 0 1
0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0
CROSSREFS
Cf. A207050.
Sequence in context: A369977 A207050 A206072 * A206065 A139705 A226643
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 14 2012
STATUS
approved