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A101342
Fibonacci-Mersenne numbers.
2
0, 1, 2, 13, 610, 1346269, 6557470319842, 155576970220531065681649693, 87571595343018854458033386304178158174356588264390370, 27745922289305716855338470916082815029348872029647830861914852073402148308000613611082094085891168867554589
OFFSET
0,3
COMMENTS
Product_{n >= 1} 1+1/a(n+1) = (1+sqrt(5))/2 (golden section phi, tau or alpha). See the Shallit reference. [Wolfdieter Lang, Nov 04 2010]
LINKS
J. Shallit, Problem B-423, The Fibonacci Quarterly 18,1 Feb.(1980)85. Solution 19,1 Feb. (1981) 92. [Wolfdieter Lang, Nov 04 2010]
FORMULA
Fibonacci(Mersenne(n)) == Fibonacci(2^n-1)
a(n) = A088334(n-2) - 1. - R. J. Mathar, Apr 23 2007
a(n) = A000045(A000225(n)). - Omar E. Pol, Oct 29 2013
PROG
(PARI) for(x=0, 10, print( fibonacci(2^x-1) ))
CROSSREFS
Cf. A088334 (infinite product for 1/phi). [Wolfdieter Lang, Nov 04 2010]
Sequence in context: A154356 A013111 A179434 * A119122 A109947 A175513
KEYWORD
nonn
AUTHOR
Jorge Coveiro, Dec 24 2004
STATUS
approved