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A187133 Number of (n+1)X3 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces 1
171, 1773, 19062, 182214, 1853892, 18740754, 189091422, 1908891288, 19278208206, 194645680218, 1965399983316, 19844830788804, 200378939196348, 2023260613838154, 20429301340509606, 206278735833598914 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A187140

LINKS

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

FORMULA

Empirical: a(n)=8*a(n-1)+7*a(n-2)+57*a(n-3)+830*a(n-4)-760*a(n-5)+13856*a(n-6)-16412*a(n-7)-20781*a(n-8)-279409*a(n-9)-286716*a(n-10)-177533*a(n-11)-1234545*a(n-12)+8386114*a(n-13)+27271210*a(n-14)+14619241*a(n-15)+23883593*a(n-16)-184245010*a(n-17)-273527466*a(n-18)-929089851*a(n-19)-1459165167*a(n-20)+7806772227*a(n-21)-3902405566*a(n-22)+12705482310*a(n-23)+66192396*a(n-24)-23799404280*a(n-25)-23221742848*a(n-26)-85333270112*a(n-27)+154491695232*a(n-28)+59114655488*a(n-29)+45146716672*a(n-30)-94877119488*a(n-31)-212159176704*a(n-32)+234619213824*a(n-33)-294853865472*a(n-34)+326049988608*a(n-35)-218420084736*a(n-36)+290221719552*a(n-37)-171228266496*a(n-38)

EXAMPLE

Some solutions for 4X3

..2..2..0....0..1..2....0..2..0....1..0..0....0..2..2....1..1..1....1..2..0

..2..0..0....1..1..1....0..1..1....1..0..2....0..2..0....2..1..0....1..2..0

..0..0..2....1..0..1....1..1..2....0..0..2....2..2..1....1..0..0....1..2..0

..1..1..1....1..1..2....0..0..2....2..1..1....0..1..1....1..1..1....1..2..1

CROSSREFS

Sequence in context: A251329 A221754 A036518 * A185838 A199902 A251223

Adjacent sequences:  A187130 A187131 A187132 * A187134 A187135 A187136

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 05 2011

STATUS

approved

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Last modified October 26 11:29 EDT 2020. Contains 338027 sequences. (Running on oeis4.)