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A184036
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1/16 the number of (n+1) X 7 0..3 arrays with all 2 X 2 subblocks having the same four values.
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1
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325, 337, 358, 400, 478, 634, 934, 1534, 2710, 5062, 9718, 19030, 37558, 74614, 148534, 296374, 591670, 1182262, 2362678, 4723510, 9443638, 18883894, 37761334, 75516214, 151019830, 302027062, 604029238, 1208033590, 2416017718, 4831985974
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OFFSET
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1,1
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COMMENTS
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Column 6 of A184039.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n) = 3*a(n-1) - 6*a(n-3) + 4*a(n-4).
Conjectures from Colin Barker, Apr 10 2018: (Start)
G.f.: x*(325 - 638*x - 653*x^2 + 1276*x^3) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)).
a(n) = 9*2^(n/2-1) + 9*2^(n-1) + 310 for n even.
a(n) = 9*2^(n-1) + 3*2^((n+1)/2) + 310 for n odd.
(End)
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EXAMPLE
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Some solutions for 3 X 7:
..1..2..2..2..2..3..1....3..3..3..1..3..1..0....2..2..2..1..3..1..3
..2..3..1..3..1..2..2....0..1..0..3..0..3..3....3..1..3..2..2..2..2
..1..2..2..2..2..3..1....3..3..3..1..3..1..0....2..2..2..1..3..1..3
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CROSSREFS
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Cf. A184039.
Sequence in context: A253433 A253440 A253157 * A159844 A000443 A097101
Adjacent sequences: A184033 A184034 A184035 * A184037 A184038 A184039
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 08 2011
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STATUS
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approved
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