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Search: id:A059917
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| 2, 5, 41, 3281, 21523361, 926510094425921, 1716841910146256242328924544641, 5895092288869291585760436430706259332839105796137920554548481
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OFFSET
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0,1
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COMMENT
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Average of first 2^(n+1) powers of 3 divided by average of first 2^n powers of 3.
Numerator of b(n) where b(n) = 1/2*(b(n-1) + 1/b(n-1)), b(0)=2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 15 2002
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,11
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FORMULA
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a(n) = a(n-1)*(3^(2^(n-1))+1)-3^(2^(n-1)) = A059723(n+1)/A059723(n) = A059918(n)+1 = a(n-1)*A059919(n-1)-A011764(n-1)
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EXAMPLE
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a(2) = Average(1,3,9,27,81,243,729,2187)/Average(1,3,9,27) = 410/10 = 41
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PROGRAM
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(PARI) { for (n=0, 11, write("b059917.txt", n, " ", (3^(2^n) + 1)/2); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 30 2009]
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CROSSREFS
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Cf. A059918.
Sequence in context: A126469 A054859 A076725 this_sequence A093625 A042447 A075872
Adjacent sequences: A059914 A059915 A059916 this_sequence A059918 A059919 A059920
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KEYWORD
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nonn,frac
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 08 2001
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