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Search: id:A116867
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| A116867 |
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Convolution of generalized Catalan sequence A064063 (named C(3;n)). |
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+0
2
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| 1, 2, 9, 58, 446, 3792, 34369, 325538, 3184206, 31917772, 326156474, 3385065348, 35585008816, 378116619692, 4054571715729, 43820012675698, 476830454211926, 5219833626494412, 57444768682580494, 635176593108262028
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OFFSET
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0,2
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COMMENT
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Row sums of generalized Catalan triangle A116866 (named C(1,3)).
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FORMULA
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a(n)=sum(A116866(n,m),m=0..n), n>=0.
G.f.: ((1+3*x*c(3*x)/2)/(1+x/2))^2 = (4-3*x + 15*x*c(3*x))/(2+x)^2, with the o.g.f. c(x) of A000108 (Catalan numbers).
a(n)= sum(C(3;n-k)*C(3;k),k=0..n), n>=0, with C(3;n):= A064063(n).
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CROSSREFS
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Sequence in context: A124405 A141787 A047852 this_sequence A132608 A080834 A059115
Adjacent sequences: A116864 A116865 A116866 this_sequence A116868 A116869 A116870
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KEYWORD
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nonn,easy
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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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