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 A181229 T(n,k)=Number of length n sequences p(i=0..n-1) with 0<=p(i)<=i and having exactly k maxima 5

%I #3 Mar 31 2012 12:35:49

%S 1,0,2,0,0,6,0,0,0,21,0,0,0,3,79,0,0,0,0,41,311,0,0,0,0,0,383,1265,0,

%T 0,0,0,0,26,3073,5275,0,0,0,0,0,0,702,22835,22431,0,0,0,0,0,0,0,11734,

%U 162517,96900,0,0,0,0,0,0,0,476,156976,1127399,424068,0,0,0,0,0,0,0,0,20956

%N T(n,k)=Number of length n sequences p(i=0..n-1) with 0<=p(i)<=i and having exactly k maxima

%C Table starts

%C ............1...............0.................0..................0

%C ............2...............0.................0..................0

%C ............6...............0.................0..................0

%C ...........21...............3.................0..................0

%C ...........79..............41.................0..................0

%C ..........311.............383................26..................0

%C .........1265............3073...............702..................0

%C .........5275...........22835.............11734................476

%C ........22431..........162517............156976..............20956

%C ........96900.........1127399...........1847636.............541960

%C .......424068.........7700835..........20046784...........10783530

%C ......1876143........52118506.........205891684..........183084580

%C ......8377299.......350902046........2034977036.........2796467584

%C .....37704042......2356532130.......19567350334........39641212284

%C ....170870106.....15813455692......184421027812.......532014841490

%C ....779058843....106160717591.....1712803733352......6852097042820

%C ...3571051579....713555194577....15736451922346.....85509456576162

%C ..16447100702...4804401287757...143435108141199...1041222110654522

%C ..76073821946..32414156949765..1299841823088167..12436416067831144

%C .353224531663.219174260505645.11730670902611152.146290172122139436

%H R. H. Hardin, <a href="/A181229/b181229.txt">Table of n, a(n) for n=1..10000</a>

%e All solutions for n=5 with k=2 maxima

%e ..0..1..0..0..1....0..1..0..0..2....0..1..0..0..3....0..1..0..0..4

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

%e ..0..1..0..2..4....0..1..0..1..0....0..1..0..1..1....0..1..0..1..2

%e ..0..1..0..1..3....0..1..0..1..4....0..1..0..3..0....0..1..0..3..1

%e ..0..1..0..3..2....0..1..0..3..3....0..1..0..3..4....0..0..1..0..1

%e ..0..0..1..0..2....0..0..1..0..3....0..0..1..0..4....0..0..2..0..1

%e ..0..0..2..0..2....0..0..2..0..3....0..0..2..0..4....0..0..2..1..2

%e ..0..0..2..1..3....0..0..2..1..4....0..1..1..0..1....0..1..1..0..2

%e ..0..1..1..0..3....0..1..1..0..4....0..1..2..0..1....0..1..2..0..2

%e ..0..1..2..0..3....0..1..2..0..4....0..1..2..1..2....0..1..2..1..3

%e ..0..1..2..1..4

%Y Column 1 is A033321

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_ Oct 10 2010

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Last modified July 22 10:40 EDT 2024. Contains 374490 sequences. (Running on oeis4.)