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A212471
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T(n,k)=Number of 0..3 arrays of length n+2*k-1 with sum no more than 3*k in any length 2k subsequence (=50% duty cycle)
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14
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10, 150, 30, 2338, 486, 85, 36814, 7862, 1597, 246, 582440, 126606, 27024, 5211, 707, 9240426, 2034200, 445780, 93308, 16649, 2037, 146861788, 32644314, 7274268, 1581686, 321320, 53553, 5864, 2337014158, 523487828, 118029501, 26242268
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OFFSET
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1,1
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COMMENTS
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Table starts
....10....150.....2338.....36814.....582440.....9240426.....146861788
....30....486.....7862....126606....2034200....32644314.....523487828
....85...1597....27024....445780....7274268...118029501....1908601444
...246...5211....93308...1581686...26242268...430682205....7023308036
...707..16649...321320...5622580...95010466..1578372444...25966120647
..2037..53553..1098260..19960518..344305566..5795798788...96239314549
..5864.172980..3708268..70600212.1246724695.21292987433..357117150362
.16886.558743.12564894.248263590.4504766041.78186208521.1325550644016
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..936
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EXAMPLE
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Some solutions for n=3 k=4
..0....2....2....2....2....2....2....2....0....2....0....0....0....0....0....2
..0....2....0....2....2....2....0....0....0....2....0....0....2....0....0....0
..0....2....1....2....2....0....0....0....2....1....1....0....0....1....0....3
..3....2....0....2....0....0....3....0....0....0....0....0....0....0....2....0
..1....0....0....1....0....2....2....1....2....2....0....3....0....0....1....2
..0....0....3....1....3....2....0....3....1....1....0....1....3....0....3....3
..0....0....1....0....0....1....2....0....1....0....0....0....1....0....3....0
..3....0....3....2....3....0....1....0....0....3....0....2....2....0....2....0
..2....1....2....2....0....2....1....0....2....1....3....0....3....2....0....2
..0....0....0....1....1....2....0....1....1....0....2....3....3....0....0....0
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CROSSREFS
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Column 1 is A006357(n+1)
Sequence in context: A097638 A178084 A098270 * A157867 A116156 A224124
Adjacent sequences: A212468 A212469 A212470 * A212472 A212473 A212474
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin May 17 2012
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STATUS
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approved
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