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A212232 T(n,k)=Number of 0..2 arrays of length n+2*k-1 with sum no more than 2*k in any length 2k subsequence (=50% duty cycle) 14
6, 50, 14, 435, 124, 31, 3834, 1113, 311, 70, 34001, 10002, 2902, 775, 157, 302615, 89911, 26637, 7596, 1895, 353, 2699598, 808403, 242780, 71427, 19834, 4663, 793, 24121674, 7269626, 2204646, 660796, 191853, 51440, 11518, 1782, 215786649 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....6....50....435....3834....34001....302615....2699598....24121674

...14...124...1113...10002....89911....808403....7269626....65380788

...31...311...2902...26637...242780...2204646...19976155...180744711

...70...775...7596...71427...660796...6062948...55360211...503916387

..157..1895..19834..191853..1804448..16740414..154089343..1411275807

..353..4663..51440..514687..4931630..46305966..429886243..3962696059

..793.11518.131950.1376128.13468524.128148456.1200645159.11143104246

.1782.28446.339564.3659968.36711516.354470546.3354267511.31356940932

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1074

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A006356(n+1)

Sequence in context: A024268 A187528 A187699 * A187670 A187462 A231270

Adjacent sequences:  A212229 A212230 A212231 * A212233 A212234 A212235

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin May 06 2012

STATUS

approved

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Last modified January 20 01:18 EST 2022. Contains 350467 sequences. (Running on oeis4.)