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A038085
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Number of n-node rooted identity trees of height at most 6.
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3
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1, 1, 1, 2, 3, 6, 12, 24, 45, 85, 157, 289, 529, 969, 1764, 3208, 5807, 10493, 18901, 33977, 60919, 109019, 194662, 346940, 617148, 1095884, 1942576, 3437834, 6074239, 10716076, 18877025, 33205498, 58328831, 102323302, 179267087
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| The number of terms is a number that is too large to write down!
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LINKS
| N. J. A. Sloane, Transforms
Index entries for sequences related to rooted trees
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FORMULA
| Take Weigh transform of A038084 and shift right.
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MAPLE
| weigh:= proc(p) proc(n) `if`(n<0, 1, coeff (mul ((1+x^k)^p(k), k=1..n), x, n)) end end: wsh:= p-> n-> weigh(p)(n-1): a:= (wsh@@3) (n-> `if`(n>0 and n<12, [1$3, 2$5, 1$3][n], 0)): seq (a(n), n=1..35); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 10 2008]
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CROSSREFS
| Cf. A038081-A038093.
Sequence in context: A103341 A023675 A029996 * A124313 A049890 A042950
Adjacent sequences: A038082 A038083 A038084 * A038086 A038087 A038088
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KEYWORD
| nonn,fini
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.
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