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Search: id:A121660
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| A121660 |
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Numerator of fraction equal to the continued fraction [4, 6, 9, ..., semiprime(n)]. |
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+0
2
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| 4, 25, 229, 2315, 32639, 491900, 10362539, 228467758, 5722056489, 149001936472
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Denominator of fraction equal to the continued fraction [4, 6, 9, ..., semiprime(n)] is A121661. Hence A121660/A121661 is semiprime analogue of A036247/A036248.
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FORMULA
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Numerator of fraction equal to the continued fraction [4, 6, 9, ..., A001358(n)].
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EXAMPLE
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a(1) = numerator of 4 = 4.
a(2) = numerator of 4 + 1/6 = numerator of 25/6 = 25.
a(3) = numerator of 4 + 1/(6+1/9)) = numerator of 229/55 = 229.
a(10) = numerator of 4+1/(6+1/(9+1/(10+ 1/(14+1/(15+ 1/(21+1/(22+1/(25+1/(26))))))))) = numerator of 149001936472/35786212191 = 149001936472.
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CROSSREFS
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Cf. A001358, A036247, A036248, A121661.
Sequence in context: A031152 A010845 A087660 this_sequence A118835 A099696 A071896
Adjacent sequences: A121657 A121658 A121659 this_sequence A121661 A121662 A121663
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 14 2006
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