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A106361 Number of rooted ordered trees where no branch is identical to its adjacent neighbor. 2
1, 1, 1, 3, 6, 16, 45, 128, 371, 1106, 3343, 10230, 31635, 98714, 310366, 982437, 3128051, 10011848, 32193840, 103955571, 336946034, 1095873115, 3575319049, 11697938232, 38374479841, 126190075741, 415889689954, 1373506798548 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

LINKS

Index entries for sequences related to rooted trees

FORMULA

Shifts left under Carlitz transform.

Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))).

CROSSREFS

Cf. A000081, A106362, A106363.

Sequence in context: A202846 A107269 A086811 * A113040 A007002 A201969

Adjacent sequences:  A106358 A106359 A106360 * A106362 A106363 A106364

KEYWORD

nonn,eigen

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005

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Last modified February 15 23:21 EST 2012. Contains 205860 sequences.