A038092 - OEIS

%I #20 Dec 19 2015 12:15:50

%S 1,7,27,82,221,553,1323,3078,7019,15765,34992,76922,167697,363020,

%T 780937,1670786,3557060,7539856,15918972,33490067,70226358,146822144,

%U 306121101,636648253,1320964417,2734901341,5650875038,11653922283,23991828701,49310264440

%N Number of n-node rooted identity trees of height 8.

%C The number of terms with a(n)>0 is A038093(8) - 8. - _Alois P. Heinz_, Sep 22 2013

%H Alois P. Heinz, <a href="/A038092/b038092.txt">Table of n, a(n) for n = 9..1000</a>

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%F A038087-A038086.

%t 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 *)

%Y Cf. A038081-A038093.

%Y Column k=8 of A227819.

%K nonn,fini

%O 9,2

%A _Christian G. Bower_, Jan 04 1999