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Search: id:A000950
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| A000950 |
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Number of forests with n nodes and height at most 3. (Formerly M3025 N1225)
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+0 3
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| 1, 3, 16, 125, 1176, 12847, 160504, 2261289, 35464816, 612419291, 11539360944, 235469524237, 5170808565976, 121535533284999, 3043254281853496, 80852247370051793, 2270951670959226336, 67221368736302224819
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. Riordan, Forests of labeled trees, J. Combin. Theory, 5 (1968), 90-103.
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FORMULA
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E.g.f.: exp(x*exp(x*exp(x*exp(x)))).
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CROSSREFS
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Cf. A000248, A000949-A000951, A052512-A052514.
Sequence in context: A005119 A090135 A157457 this_sequence A000951 A000272 A159594
Adjacent sequences: A000947 A000948 A000949 this_sequence A000951 A000952 A000953
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 07 2001
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