# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a212729 Showing 1-1 of 1 %I A212729 #4 May 25 2012 20:46:12 %S A212729 3,31,5,294,67,8,2727,690,148,13,25048,6681,1669,322,21,228826,63052, %T A212729 16878,4057,677,34,2083371,587036,163495,43050,9807,1439,55,18925047, %U A212729 5420945,1549297,428617,109995,23401,3086,89,171633840,49790907,14492156 %N A212729 T(n,k)=Number of 0..2 arrays of length n+2*k-1 with sum less than 2*k in any length 2k subsequence (=less than 50% duty cycle) %C A212729 Table starts %C A212729 ..3...31....294....2727....25048....228826....2083371....18925047....171633840 %C A212729 ..5...67....690....6681....63052....587036....5420945....49790907....455613780 %C A212729 ..8..148...1669...16878...163495...1549297...14492156...134429604...1239807015 %C A212729 .13..322...4057...43050...428617...4135249...39179582...366956550...3410099667 %C A212729 .21..677...9807..109995..1128418..11095332..106521624..1007510947...9434164257 %C A212729 .34.1439..23401..280255..2972836..29835132..290452176..2775231053..26189744683 %C A212729 .55.3086..54747..709626..7819020..80249504..792966548..7657995382..72853584571 %C A212729 .89.6625.128892.1780062.20492970.215618862.2165136076.21147760860.202893735787 %H A212729 R. H. Hardin, Table of n, a(n) for n = 1..1121 %e A212729 Some solutions for n=3 k=4 %e A212729 ..2....1....1....0....1....2....1....0....0....1....2....2....1....0....2....2 %e A212729 ..2....0....1....0....1....0....0....1....0....1....1....0....1....2....0....0 %e A212729 ..0....1....1....1....0....1....1....1....0....0....0....0....2....2....1....1 %e A212729 ..0....0....1....1....2....0....1....1....1....1....0....1....1....1....0....0 %e A212729 ..0....0....2....0....0....2....1....1....0....1....0....1....0....0....2....2 %e A212729 ..0....1....0....0....1....1....1....0....2....1....0....0....0....1....1....0 %e A212729 ..0....0....1....2....1....1....0....0....2....0....1....0....0....0....0....0 %e A212729 ..2....0....0....1....1....0....0....2....1....0....1....0....0....0....1....1 %e A212729 ..2....1....0....0....0....0....1....0....1....2....1....0....1....0....0....1 %e A212729 ..2....0....2....0....2....2....1....1....0....2....1....1....0....2....2....0 %Y A212729 Column 1 is A000045(n+3) %K A212729 nonn,tabl %O A212729 1,1 %A A212729 _R. H. Hardin_ May 25 2012 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE