A213464 T(n,k)=Number of 0..3 arrays of length n+2*k-1 with sum less than 3*k in any length 2k subsequence (=less than 50% duty cycle).

6, 106, 14, 1758, 310, 31, 28722, 5542, 927, 70, 466136, 94238, 18018, 2735, 157, 7536790, 1568984, 319078, 58898, 7803, 353, 121573668, 25829770, 5444644, 1091036, 191573, 22506, 793, 1957953138, 422335348, 91147915, 19105020, 3737885

Offset

1,1

Comments

Table starts

....6....106....1758.....28722.....466136.....7536790....121573668

...14....310....5542.....94238....1568984....25829770....422335348

...31....927...18018....319078....5444644....91147915...1508740928

...70...2735...58898...1091036...19105020...325333429...5451265872

..157...7803..191573...3737885...67329406..1167362677..19808276303

..353..22506..615561..12773955..237475982..4198162231..72188618371

..793..65425.1940673..43399990..836356119.15103463125.263422708979

.1782.190318.6155514.146145812.2935825527.54284048195.961420842175

Links

R. H. Hardin, Table of n, a(n) for n = 1..897

Example

Some solutions for n=3 k=4
..2....0....2....0....0....0....2....0....0....2....0....0....0....2....0....0
..2....2....0....2....1....2....2....0....0....0....0....1....1....2....2....0
..2....1....0....0....0....3....0....0....0....0....0....2....0....1....1....0
..1....3....1....1....0....0....0....2....0....0....2....0....0....1....1....1
..1....1....1....3....2....0....2....2....0....3....3....0....0....1....0....2
..0....1....3....1....2....2....1....2....0....0....0....0....0....2....2....0
..1....0....0....0....1....0....1....0....0....0....1....0....2....1....1....1
..1....1....0....0....1....0....3....0....0....2....0....2....2....0....2....2
..2....0....2....1....3....0....2....1....2....2....1....0....2....2....2....2
..3....3....0....3....0....2....1....3....2....3....2....0....2....1....1....2

Crossrefs

Column 1 is A006356(n+1)

Sequence in context: A075068 A376331 A055763 * A394932 A213465 A385946

Adjacent sequences: A213461 A213462 A213463 * A213465 A213466 A213467

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 12 2012

Status

approved