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Search: id:A116880
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| A116880 |
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Generalized Catalan triangle, called CM(1,2). |
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+0
4
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| 1, 1, 3, 3, 7, 13, 13, 29, 41, 67, 67, 147, 195, 247, 381, 381, 829, 1069, 1277, 1545, 2307, 2307, 4995, 6339, 7379, 8451, 9975, 14589, 14589, 31485, 39549, 45373, 50733, 56829, 66057, 95235, 95235, 205059
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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This triangle generalizes the 'new' Catalan triangle A028364 (which could be called CM(1,1); M stands for author Meeussen).
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LINKS
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W. Lang: First 10 rows.
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FORMULA
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G.f. for columns m>=0 (without leading zeros): c(2;x)*sum(C(1,2;m,k)*(2*c(2*x))^k,k=0..m)) with c(2;x):=(1+2*x*c(2*x))/(1+x) the g.f. of A064062, and c(x) is the g.f. of A000108 (Catalan). C(1,2;n,m) is the triangle A115193(n,m).
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CROSSREFS
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Row sums give A116881.
Sequence in context: A068626 A126698 A088859 this_sequence A051123 A096188 A065876
Adjacent sequences: A116877 A116878 A116879 this_sequence A116881 A116882 A116883
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 24 2006
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