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Search: id:A134476
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| A134476 |
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a(n) = numerator of product{j=1 to n} 1/(1 +1/A134473(j)). |
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+0
5
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| 2, 20, 2650, 32954340, 1308244991416034040, 317520251251282502765281061480522484549, 51348043200265516352304296553233166994035195487912155511387668758325728717007499\ 617
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The denominator of product{j=1 to n} 1/(1 +1/A134473(j)) is A134477(n). A134476(n)/A134477(n) approaches a constant (.6037789...) as n approaches infinity.
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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MAPLE
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Digits := 220 ; A134473 := proc(n) option remember ; local su, mu ; if n =1 then 2; else su := add(1/procname(k), k=1..n-1) ; mu := mul(1/(1+1/procname(j)), j=1..n-1) ; ceil( (1+su+sqrt((su-1)^2+4*mu))/2/(mu-su) ) ; fi; end: A134476 := proc(n) mul(1/(1+1/A134473(k)), k=1..n) ; numer(%) ; end: seq(A134476(n), n=1..9) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009]
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CROSSREFS
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Cf. A134473, A134474, A134475, A134477.
Sequence in context: A013144 A112359 A053848 this_sequence A055746 A060600 A143247
Adjacent sequences: A134473 A134474 A134475 this_sequence A134477 A134478 A134479
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet Oct 27 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
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