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A007439 Number of planted trees: all sub-rooted trees from any node are identical; non-root, non-leaf nodes an even distance from the root are of degree 2.
(Formerly M0301)
+0
2
1, 1, 1, 2, 2, 4, 3, 7, 4, 11, 6, 15, 7, 24, 8, 29, 12, 40, 13, 51, 14, 68, 19, 76, 20, 107, 23, 116, 29, 147, 30, 175, 31, 215, 39, 229, 45, 297, 46, 312, 55, 387, 56, 435, 57, 513, 73, 534, 74, 670, 78, 705, 92, 823, 93, 897, 102, 1051, 117, 1082 (list; graph; listen)
OFFSET

1,4

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

N. J. A. Sloane, Transforms

Index entries for sequences related to rooted trees

Index entries for sequences related to trees

FORMULA

a(n+2) = Sum a(k), k|n. Shifts left two places under inverse Moebius transformation.

CROSSREFS

Cf. A003238, A007562.

Sequence in context: A101200 A122585 A057449 this_sequence A096441 A100824 A163227

Adjacent sequences: A007436 A007437 A007438 this_sequence A007440 A007441 A007442

KEYWORD

nonn,nice,eigen

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

New description from Christian G. Bower (bowerc(AT)usa.net), Oct 15 1998.

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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