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Search: id:A114419
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| A114419 |
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Smallest number a(n) such that Fibonacci(a(n)) is a multiple of primorial(n). |
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1
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| 3, 12, 60, 120, 120, 840, 2520, 2520, 2520, 2520, 2520, 47880, 47880, 526680, 1053360, 3160080, 91642320, 91642320, 1557919440, 1557919440, 57643019280, 749359250640, 749359250640, 749359250640, 5245514754480, 26227573772400
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Because the Fibonacci numbers form a divisibility sequence, each term of this sequence is a multiple of the previous term. The multiple can be computed using A001602. [From T. D. Noe (noe(AT)sspectra.com), May 04 2009]
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FORMULA
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a(n) = {min j: A002110(n) | A000045(j)}. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2008
a(n) = lcm(A001602(1),...,A001602(n)) [From T. D. Noe (noe(AT)sspectra.com), May 04 2009]
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EXAMPLE
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a(2)=12 because 12th fibonacci number i.e. 144 is the smallest fibonacci number which is a multiple of primorial(2) i.e. 6
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CROSSREFS
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Cf. A002110, A000045.
Sequence in context: A122752 A020102 A065080 this_sequence A090830 A127918 A069944
Adjacent sequences: A114416 A114417 A114418 this_sequence A114420 A114421 A114422
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KEYWORD
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nonn
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com), Feb 12 2006
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EXTENSIONS
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a(1) corrected and a(14) added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2008
a(14)-a(18) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 03 2008
Extended by T. D. Noe (noe(AT)sspectra.com), May 04 2009
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