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A036661 Number of n-node rooted labeled trees with deg <=4 at root and out-degree <=2 elsewhere. +0
1
1, 1, 2, 4, 8, 15, 32, 66, 142, 306, 672, 1483, 3316, 7446, 16859, 38353, 87735, 201510, 464801, 1075744, 2498053, 5817576, 13585231, 31801732, 74615404, 175433624, 413281276, 975355639, 2305763635, 5459480822, 12945857671 (list; graph; listen)
OFFSET

0,3

LINKS

Index entries for sequences related to rooted trees

Index entries for sequences related to trees

FORMULA

G.f.: A(x) = x*cycle_index(S4, f), where f = A001190(x)/x.

Cf. A000671.

CROSSREFS

Sequence in context: A092603 A086125 A061030 this_sequence A145671 A108693 A007673

Adjacent sequences: A036658 A036659 A036660 this_sequence A036662 A036663 A036664

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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