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A212729
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T(n,k)=Number of 0..2 arrays of length n+2*k-1 with sum less than 2*k in any length 2k subsequence (=less than 50% duty cycle)
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14
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3, 31, 5, 294, 67, 8, 2727, 690, 148, 13, 25048, 6681, 1669, 322, 21, 228826, 63052, 16878, 4057, 677, 34, 2083371, 587036, 163495, 43050, 9807, 1439, 55, 18925047, 5420945, 1549297, 428617, 109995, 23401, 3086, 89, 171633840, 49790907, 14492156
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OFFSET
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1,1
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COMMENTS
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Table starts
..3...31....294....2727....25048....228826....2083371....18925047....171633840
..5...67....690....6681....63052....587036....5420945....49790907....455613780
..8..148...1669...16878...163495...1549297...14492156...134429604...1239807015
.13..322...4057...43050...428617...4135249...39179582...366956550...3410099667
.21..677...9807..109995..1128418..11095332..106521624..1007510947...9434164257
.34.1439..23401..280255..2972836..29835132..290452176..2775231053..26189744683
.55.3086..54747..709626..7819020..80249504..792966548..7657995382..72853584571
.89.6625.128892.1780062.20492970.215618862.2165136076.21147760860.202893735787
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..1121
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EXAMPLE
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Some solutions for n=3 k=4
..2....1....1....0....1....2....1....0....0....1....2....2....1....0....2....2
..2....0....1....0....1....0....0....1....0....1....1....0....1....2....0....0
..0....1....1....1....0....1....1....1....0....0....0....0....2....2....1....1
..0....0....1....1....2....0....1....1....1....1....0....1....1....1....0....0
..0....0....2....0....0....2....1....1....0....1....0....1....0....0....2....2
..0....1....0....0....1....1....1....0....2....1....0....0....0....1....1....0
..0....0....1....2....1....1....0....0....2....0....1....0....0....0....0....0
..2....0....0....1....1....0....0....2....1....0....1....0....0....0....1....1
..2....1....0....0....0....0....1....0....1....2....1....0....1....0....0....1
..2....0....2....0....2....2....1....1....0....2....1....1....0....2....2....0
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CROSSREFS
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Column 1 is A000045(n+3)
Sequence in context: A053300 A322777 A089281 * A218357 A090543 A215946
Adjacent sequences: A212726 A212727 A212728 * A212730 A212731 A212732
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin May 25 2012
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STATUS
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approved
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