A032274 Number of labeled series-reduced dyslexic mobiles (polygon rooted trees) with n leaves (root has degree 0 or >=2).

1, 1, 4, 28, 277, 3532, 55093, 1016011, 21624349, 521677954, 14067076336, 419272679677, 13687252717378, 485693076265273, 18614089207916707, 766238746685395879, 33717600627620246296, 1579453179468556700596, 78472105193521600210579, 4121555441689179298651888

Offset

1,3

Links

Andrew Howroyd, Table of n, a(n) for n = 1..200

Index entries for sequences related to mobiles

Formula

Doubles (index 2+) under "DIJ" (bracelet, indistinct, labeled) transform.

E.g.f.: series reversion of (3*x - x^2/2 + log(1-x))/2. - Andrew Howroyd, Sep 19 2018

Prog

(PARI) Vec(serlaplace(serreverse((3*x - x^2/2 + log(1-x + O(x^20)))/2))) \\ Andrew Howroyd, Sep 19 2018

Crossrefs

Sequence in context: A303260 A174494 A128318 * A182964 A306228 A178599

Adjacent sequences: A032271 A032272 A032273 * A032275 A032276 A032277

Keyword

nonn,eigen

Author

Christian G. Bower

Extensions

Terms a(19) and beyond from Andrew Howroyd, Sep 19 2018

Status

approved