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A079217
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Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
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8
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1, 1, 1, 2, 0, 1, 3, 1, 0, 1, 5, 0, 0, 0, 1, 6, 2, 1, 0, 0, 1, 10, 0, 0, 0, 0, 0, 1, 11, 5, 0, 1, 0, 0, 0, 1, 18, 0, 2, 0, 0, 0, 0, 0, 1, 21, 11, 0, 0, 1, 0, 0, 0, 0, 1, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 35, 26, 3, 2, 0, 1, 0, 0, 0, 0, 0, 1, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 69, 66, 0, 0, 0, 0, 1, 0, 0
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..99.
Index entries for sequences related to parenthesizing
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MAPLE
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[seq(A079217(n), n=0..119)]; A079217 := n -> PFixedByA057511(A003056(n)+1, 1, A002262(n)+1);
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CROSSREFS
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The row sums equal to the left edge shifted left once = A057546 = first row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079218, A079219, A079220, A079221, A079222 and A003056 and A002262.
Sequence in context: A169803 A099557 A214576 * A079221 A168019 A026794
Adjacent sequences: A079214 A079215 A079216 * A079218 A079219 A079220
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KEYWORD
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nonn,tabl
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AUTHOR
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Antti Karttunen Jan 03 2002
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STATUS
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approved
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