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A132051
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Sixth column of triangle A035342.
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1
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1, 63, 2730, 103950, 3786615, 137162025, 5039703900, 189883593900, 7381251402525, 297032627967075, 12395985005353950, 536910000482705850, 24139951470365605875, 1126381171697414758125, 54517938404202375102000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,2
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COMMENTS
| a(n), n>=6, enumerates unordered n-vertex forests composed of six plane increasing ternary trees. See A001147 (number of increasing ternary trees) and a D. Callan comment there. For a picture of some ternary trees see a W. Lang link under A001764.
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FORMULA
| E.g.f. ((x*c(x/2)*(1-2*x)^(-1/2))^6)/6!, where c(x) = g.f. for Catalan numbers A000108, a(0) := 0.
E.g.f. (-1+(1-2*x)^(-1/2))^6/6!.
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CROSSREFS
| Cf. A035521 (fifth column).
Sequence in context: A004376 A094938 A006110 * A167987 A069381 A051589
Adjacent sequences: A132048 A132049 A132050 * A132052 A132053 A132054
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Sep 14 2007
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