OFFSET
0,5
LINKS
Filippo Disanto, The size of the biggest Caterpillar subtree in binary rooted planar trees, arXiv preprint arXiv:1202.5668 [math.CO], 2012.
MAPLE
C:=(1-sqrt(1-4*x))/2; # A000108 with a different offset
Fm:=k->(1/2)*(1-sqrt(1-4*x+2^(k+1)*x^(k+1)));
Sm:=k->seriestolist(series(Fm(k), x, 50));
Fp:=k->C-Fm(k-1);
Sp:=k->seriestolist(series(Fp(k), x, 50));
F:=k->Fm(k)-Fm(k-1);
S:=k->seriestolist(series(F(k), x, 50));
MATHEMATICA
(1/2)*(Sqrt[1 - 4*x + 16*x^4] - Sqrt[1 - 4*x + 32*x^5]) + O[x]^35 // CoefficientList[#, x]& (* Jean-François Alcover, Nov 07 2016, after Maple *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 07 2012
STATUS
approved