

A212471


T(n,k)=Number of 0..3 arrays of length n+2*k1 with sum no more than 3*k in any length 2k subsequence (=50% duty cycle)


14



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

1,1


COMMENTS

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


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..936


EXAMPLE

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


CROSSREFS

Column 1 is A006357(n+1)
Sequence in context: A097638 A178084 A098270 * A157867 A116156 A224124
Adjacent sequences: A212468 A212469 A212470 * A212472 A212473 A212474


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin May 17 2012


STATUS

approved



