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A101342
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Fibonacci-Mersenne numbers.
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2
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0, 1, 2, 13, 610, 1346269, 6557470319842, 155576970220531065681649693, 87571595343018854458033386304178158174356588264390370, 27745922289305716855338470916082815029348872029647830861914852073402148308000613611082094085891168867554589
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Product(1+1/a(n+1),n=1..infty) = (1+sqrt(5))/2 (golden section phi, tau or alpha). See the Shallit reference. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 04 2010]
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REFERENCES
| J. Shallit, The Fibonacci Quarterly, Problem B-423, 18,1 Feb.(1980) 85. Solution 19,1 Feb.(1981) 92. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 04 2010]
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FORMULA
| Fibonacci(Mersenne(n)) == Fibonacci(2^n-1)
Apparently a(n)=A088334(n-2)-1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2007
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PROG
| (PARI) for(x=0, 10, print( fibonacci(2^x-1) ))
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CROSSREFS
| A088334 (infinite product for 1/phi). [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 04 2010]
Sequence in context: A154356 A013111 A179434 * A119122 A109947 A175513
Adjacent sequences: A101339 A101340 A101341 * A101343 A101344 A101345
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KEYWORD
| nonn
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AUTHOR
| Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 24 2004
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