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A052808
E.g.f.: -log(1-x+log(1-x)).
2
0, 2, 5, 24, 169, 1572, 18208, 252676, 4088138, 75571648, 1571427096, 36304942704, 922615912656, 25577663099232, 768176940800592, 24845381066244288, 860979848497650768, 31825036424306681088, 1249895536243141292544, 51975908060575367916288
OFFSET
0,2
COMMENTS
Previous name was: A simple grammar.
FORMULA
E.g.f.: -log(1-x+log(1-x)). - Michael Somos, Sep 21, 2002
a(n) ~ (n-1)! / (1-LambertW(1))^n. - Vaclav Kotesovec, Oct 01 2013
MAPLE
spec := [S, {C=Cycle(Z), B=Union(C, Z), S=Cycle(B)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
MATHEMATICA
With[{nn=30}, CoefficientList[Series[-Log[1-x+Log[1-x]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Mar 27 2013 *)
PROG
(PARI) a(n)=if(n<0, 0, n!*polcoeff(-log(1-x+log(1-x+x*O(x^n))), n))
CROSSREFS
Sequence in context: A012249 A303108 A331035 * A137157 A359810 A025134
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
EXTENSIONS
More terms from Harvey P. Dale, Mar 27 2013
New name, using e.g.f., by Vaclav Kotesovec, Oct 01 2013
STATUS
approved