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A089262 2^[log2(n)] - 2^[log2(n*2/3)]. 0
0, 0, 1, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32 (list; graph; refs; listen; history; internal format)
OFFSET

0,5

FORMULA

a(2n) = 2a(n) + [n==1], a(2n+1) = 2a(n).

G.f. 1/(1-x) * sum(k>=0, 2^k*(t^2-t^3), t=x^2^k).

PROG

(PARI) a(n)=if(n<1, 0, if(n%2==0, 2*a(n/2)+(n/2==1), 2*a((n-1)/2)))

(PARI) a(n)=2^floor(log(n)/log(2))-2^floor(log(n*2/3)/log(2))

CROSSREFS

Cf. A053644.

Sequence in context: A179011 A134315 A119332 * A175917 A069971 A167291

Adjacent sequences:  A089259 A089260 A089261 * A089263 A089264 A089265

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 30 2003

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Last modified February 15 19:07 EST 2012. Contains 205852 sequences.