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A212471 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) 14

%I

%S 10,150,30,2338,486,85,36814,7862,1597,246,582440,126606,27024,5211,

%T 707,9240426,2034200,445780,93308,16649,2037,146861788,32644314,

%U 7274268,1581686,321320,53553,5864,2337014158,523487828,118029501,26242268

%N 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)

%C Table starts

%C ....10....150.....2338.....36814.....582440.....9240426.....146861788

%C ....30....486.....7862....126606....2034200....32644314.....523487828

%C ....85...1597....27024....445780....7274268...118029501....1908601444

%C ...246...5211....93308...1581686...26242268...430682205....7023308036

%C ...707..16649...321320...5622580...95010466..1578372444...25966120647

%C ..2037..53553..1098260..19960518..344305566..5795798788...96239314549

%C ..5864.172980..3708268..70600212.1246724695.21292987433..357117150362

%C .16886.558743.12564894.248263590.4504766041.78186208521.1325550644016

%H R. H. Hardin, <a href="/A212471/b212471.txt">Table of n, a(n) for n = 1..936</a>

%e Some solutions for n=3 k=4

%e ..0....2....2....2....2....2....2....2....0....2....0....0....0....0....0....2

%e ..0....2....0....2....2....2....0....0....0....2....0....0....2....0....0....0

%e ..0....2....1....2....2....0....0....0....2....1....1....0....0....1....0....3

%e ..3....2....0....2....0....0....3....0....0....0....0....0....0....0....2....0

%e ..1....0....0....1....0....2....2....1....2....2....0....3....0....0....1....2

%e ..0....0....3....1....3....2....0....3....1....1....0....1....3....0....3....3

%e ..0....0....1....0....0....1....2....0....1....0....0....0....1....0....3....0

%e ..3....0....3....2....3....0....1....0....0....3....0....2....2....0....2....0

%e ..2....1....2....2....0....2....1....0....2....1....3....0....3....2....0....2

%e ..0....0....0....1....1....2....0....1....1....0....2....3....3....0....0....0

%Y Column 1 is A006357(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ May 17 2012

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Last modified June 16 19:43 EDT 2019. Contains 324155 sequences. (Running on oeis4.)