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Search: id:A038087
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| A038087 |
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Number of n-node rooted identity trees of height at most 8. |
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+0
2
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| 1, 1, 1, 2, 3, 6, 12, 25, 52, 112, 238, 503, 1053, 2194, 4547, 9406, 19401, 39965, 82189, 168837, 346380, 709917, 1453380, 2972636, 6074138, 12400794, 25295272, 51556337, 104998985, 213681811, 434548933, 883104930, 1793484049
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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A finite sequence with a very large number of terms. The sum of all terms is 2^(2^(2^(2^65536))).
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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 A038086 and shift right.
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MAPLE
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weigh:= proc (p) proc(n) local x, k; coeff (series (mul ((1+x^k)^p(k), k=1..n), x, n+1), x, n) end end: wsh:= p-> n-> weigh(p)(n-1): a:= (wsh@@5) (n-> `if`(n>0 and n<12, [1$3, 2$5, 1$3][n], 0)): seq (a(n), n=1..33); [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: A032305 A032218 A005829 this_sequence A116379 A116380 A004111
Adjacent sequences: A038084 A038085 A038086 this_sequence A038088 A038089 A038090
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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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