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Search: id:A068769
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| A068769 |
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Generalized Catalan numbers. |
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+0
2
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| 1, 1, 14, 203, 3038, 46746, 736764, 11853051, 194053622, 3224557406, 54265836548, 923218762270, 15854602773100, 274500192707860, 4786546243533432, 83989334625037947, 1481965556616225702
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n)=K(7,7; n)/7 with K(a,b; n) defined in a comment to A068763.
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FORMULA
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a(n)=(7^n)*p(n, -6/7) with the row polynomials p(n, x) defined from array A068763.
a(n+1)= 7*sum(a(k)*a(n-k), k=0..n), n>=1, a(0)=1=a(1).
G.f.: (1-sqrt(1-28*x*(1-6*x)))/(14*x).
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CROSSREFS
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Cf. A000108, A068764-8, A068770-72, A025227-30.
Adjacent sequences: A068766 A068767 A068768 this_sequence A068770 A068771 A068772
Sequence in context: A124239 A041366 A051817 this_sequence A113349 A109764 A002961
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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 04, 2002
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