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 A090182 Triangle T(n,k), 0<=k<=n, composed of k-Catalan numbers. 0
 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, 3113, 1252, 89, 6, 1, 1, 1, 429, 106419, 104098, 5885, 161, 7, 1, 1, 1, 1430, 7035649, 25511272, 1518897, 20466, 265, 8, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS The column sequences (without leading zeros) are A000012, A000108(Catalan), A015083-86, A015089, A015091-93, A015095, A015096 for k=0..11. LINKS EXAMPLE Triangle begins : 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, 3113, 1252, 89, 6, 1, 1 ; 1, 429, 106419, 104098, 5885, 161, 7, 1, 1 ; 1, 1430, 7035649, 25511272, 1518897, 20466, 265, 8, 1, 1 ; This sequence formatted as a square array : 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, ... 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, ... 1, 1, 3, 17, 171, 3113, 106419, 7035649, 915028347, 23601213721, 121358931877763, ... 1, 1, 4, 43, 1252, 104098, 25511272, 18649337311, 40823535032644, 267924955577741566, ... 1, 1, 5, 89, 5885, 1518897, 1558435125, 6386478643785, 104648850228298925, ... 1, 1, 6, 161, 20466, 12833546, 40130703276, 627122621447281, 48995209411107768186, ... CROSSREFS Sequence in context: A066060 A008550 A064094 * A111673 A121391 A008326 Adjacent sequences:  A090179 A090180 A090181 * A090183 A090184 A090185 KEYWORD easy,nonn,tabl AUTHOR Philippe Deléham, Jan 20 2004, Oct 16 2008 STATUS approved

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