A038092 Number of n-node rooted identity trees of height 8.

1, 7, 27, 82, 221, 553, 1323, 3078, 7019, 15765, 34992, 76922, 167697, 363020, 780937, 1670786, 3557060, 7539856, 15918972, 33490067, 70226358, 146822144, 306121101, 636648253, 1320964417, 2734901341, 5650875038, 11653922283, 23991828701, 49310264440

Offset

9,2

Comments

The number of terms with a(n)>0 is A038093(8) - 8. - Alois P. Heinz, Sep 22 2013

Links

Alois P. Heinz, Table of n, a(n) for n = 9..1000

Index entries for sequences related to rooted trees

Formula

A038087-A038086.

Mathematica

f[n_]:=Nest[CoefficientList[Series[Product[(1+x^i)^#[[i]], {i, 1, Length[#]}], {x, 0, 50}], x]&, {1}, n]; Drop[f[8]-PadRight[f[7], Length[f[8]]], 8] (* Geoffrey Critzer, Aug 01 2013 *)

Crossrefs

Cf. A038081-A038093.

Column k=8 of A227819.

Sequence in context: A027180 A036597 A338230 * A059823 A339771 A059769

Adjacent sequences: A038089 A038090 A038091 * A038093 A038094 A038095

Keyword

nonn,fini

Author

Christian G. Bower, Jan 04 1999

Status

approved