

A206463


G.f. satisfies: A(x*D(x)) = x where D(x) = g.f. of A014577, the dragon curve sequence.


0



1, 1, 2, 6, 19, 63, 220, 796, 2951, 11155, 42846, 166738, 655990, 2604868, 10426448, 42023678, 170407186, 694723354, 2845839124, 11707587484, 48350311989, 200377116719, 833062172188, 3473507707930, 14521668486233, 60859782366097, 255639891601242
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..27.


EXAMPLE

G.f.: A(x) = x + x^2 + 2*x^3 + 6*x^4 + 19*x^5 + 63*x^6 + 220*x^7 + 796*x^8 +...
such that A(x*D(x)) = x and D(x) is the g.f. of the dragon curve:
D(x) = 1 + x + x^3 + x^4 + x^7 + x^8 + x^9 + x^12 + x^15 + x^16 + x^17 + x^19 + ...


PROG

(PARI) {A014577(n) = if( n%2, A014577(n\2), 1  (n/2%2))}
{a(n)=local(DC=vector(n+1, k, (1)^(k1)*A014577(k1))); polcoeff(serreverse(x*Ser(DC)), n)}
for(n=0, 61, print1(a(n), ", "))


CROSSREFS

Cf. A014577.
Sequence in context: A119255 A071969 A063030 * A148467 A148468 A148469
Adjacent sequences: A206460 A206461 A206462 * A206464 A206465 A206466


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Feb 07 2012


STATUS

approved



