request for a b-file for a core file

[N. J. A. Sloane]

Could someone help produce a b-file for A000014?
(and A001678 along the way)

Here is the sequence:

%I A000014 M0320 N0118
%S A000014 0,1,1,0,1,1,2,2,4,5,10,14,26,42,78,132,249,445,842,1561,2988,5671,10981,
%T A000014 21209,41472,81181,160176,316749,629933,1256070,2515169,5049816,10172638,
%U A000014 20543579,41602425,84440886,171794492,350238175,715497037,1464407113
%N A000014 Number of series-reduced trees with n nodes.


I could use 200, or 500 or so terms

Notes on computing A14 and A1678:

looking at the H'book of Graph Theory, p. 525:

they define f(x) (essentially A1678 but with a different offset):
f(x) = 1*x+1*x^3+1*x^4+2*x^5+3*x^6+6*x^7+10*x^8+19*x^9+35*x^10+...

by

f = (x/(x+1))* exp( sum( f(x^i) / i, i=1..infinity ) )

then A14 is given by

(1+x)f(x) - ((1+x)/2) f(x)^2 + ((1-x)/2) f(x^2)

= x + x^2 + x^4 + x^5 + 2 x^6 + ...

= A14

I actually haven't checked these formulae - there are
slightly different versions in the entry for A14 itself.

Thanks!

Neil