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A090182 Triangle T(n,k), 0<=k<=n, composed of k-Catalan numbers. 0

%I

%S 1,1,1,1,1,1,1,2,1,1,1,5,3,1,1,1,14,17,4,1,1,1,42,171,43,5,1,1,1,132,

%T 3113,1252,89,6,1,1,1,429,106419,104098,5885,161,7,1,1,1,1430,7035649,

%U 25511272,1518897,20466,265,8,1,1

%N Triangle T(n,k), 0<=k<=n, composed of k-Catalan numbers.

%C The column sequences (without leading zeros) are A000012, A000108(Catalan), A015083-86, A015089, A015091-93, A015095, A015096 for k=0..11.

%e Triangle begins :

%e 1 ;

%e 1, 1 ;

%e 1, 1, 1 ;

%e 1, 2, 1, 1 ;

%e 1, 5, 3, 1, 1 ;

%e 1, 14, 17, 4, 1, 1 ;

%e 1, 42, 171, 43, 5, 1, 1 ;

%e 1, 132, 3113, 1252, 89, 6, 1, 1 ;

%e 1, 429, 106419, 104098, 5885, 161, 7, 1, 1 ;

%e 1, 1430, 7035649, 25511272, 1518897, 20466, 265, 8, 1, 1 ;

%e This sequence formatted as a square array :

%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

%e 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, ...

%e 1, 1, 3, 17, 171, 3113, 106419, 7035649, 915028347, 23601213721, 121358931877763, ...

%e 1, 1, 4, 43, 1252, 104098, 25511272, 18649337311, 40823535032644, 267924955577741566, ...

%e 1, 1, 5, 89, 5885, 1518897, 1558435125, 6386478643785, 104648850228298925, ...

%e 1, 1, 6, 161, 20466, 12833546, 40130703276, 627122621447281, 48995209411107768186, ...

%K easy,nonn,tabl

%O 0,8

%A _Philippe Deléham_, Jan 20 2004, Oct 16 2008

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Last modified December 4 11:13 EST 2016. Contains 278750 sequences.