A121821 Decimal expansion of the Lucas binary number, Sum_{k>0} 1/2^L(k), where L(k) = A000032(k).

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

Offset: 0

Author

Alexander Adamchuk, Aug 26 2006

Keywords

• cons
• nonn

Comments

Its binary expansion is equal to 1 if n is Lucas number else 0.

Examples

			0.6958045978099178796583278671416595597...
		

Crossrefs

Cf. A000032, A000045, A084119, A010056.

Programs

Mathematica

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

PARI

suminf(n=1,1/2^(fibonacci(n-1)+fibonacci(n+1))) \\ Charles R Greathouse IV, Nov 07 2014