

A121821


Decimal expansion of the Lucas binary number, Sum(k>0, 1/2^L(k)), where L(k) = A000032[k].


0



6, 9, 5, 8, 0, 4, 5, 9, 7, 8, 0, 9, 9, 1, 7, 8, 7, 9, 6, 5, 8, 3, 2, 7, 8, 6, 7, 1, 4, 1, 6, 5, 9, 5, 5, 9, 7, 7, 9, 5, 1, 3, 2, 7, 1, 8, 5, 4, 8, 5, 6, 1, 2, 0, 0, 4, 3, 1, 5, 7, 2, 2, 0, 5, 7, 4, 6, 0, 9, 6, 4, 0, 5, 1, 6, 3, 3, 4, 6, 7, 3, 3, 5, 4, 5, 7, 7, 7, 5, 7, 7, 4, 5, 5, 4, 8, 3, 7, 1, 5, 9, 4, 6, 1, 5
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OFFSET

0,1


COMMENTS

The Lucas binary number C = 0.6958045978099178796583278671... Its binary expansion is equal to 1 if n is Lucas number else 0, RealDigits[ C,2 ] = {1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,...}.


LINKS

Table of n, a(n) for n=0..104.


MATHEMATICA

RealDigits[N[Sum[1/2^(Fibonacci[k1]+Fibonacci[k+1]), {k, 1, 20}], 150]]


CROSSREFS

Cf. A000032, A000045, A084119, A010056.
Sequence in context: A199445 A201297 A198818 * A021859 A196462 A242814
Adjacent sequences: A121818 A121819 A121820 * A121822 A121823 A121824


KEYWORD

cons,nonn


AUTHOR

Alexander Adamchuk, Aug 26 2006


STATUS

approved



