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Search: id:A038083
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| A038083 |
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Number of n-node rooted identity trees of height at most 4. |
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+0
4
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| 1, 1, 1, 2, 3, 5, 7, 10, 13, 18, 24, 32, 41, 52, 66, 83, 102, 124, 152, 181, 216, 255, 299, 346, 400, 458, 521, 588, 659, 735, 814, 896, 979, 1067, 1151, 1239, 1324, 1407, 1486, 1564, 1635, 1700, 1759, 1809, 1853, 1887, 1912, 1925, 1932, 1925, 1912
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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97 terms.
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LINKS
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N. J. A. Sloane, Transforms
Index entries for sequences related to rooted trees
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FORMULA
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Take Weigh transform of A038082 and shift right.
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MAPLE
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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 (n-> `if`(n>0 and n<12, [1$3, 2$5, 1$3][n], 0)): seq (a(n), n=1..97); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 10 2008]
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CROSSREFS
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Cf. A038081-A038093.
Sequence in context: A038499 A118199 A088318 this_sequence A060688 A005691 A035954
Adjacent sequences: A038080 A038081 A038082 this_sequence A038084 A038085 A038086
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KEYWORD
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nonn,fini
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.
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