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Search: id:A059919
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| 4, 10, 82, 6562, 43046722, 1853020188851842, 3433683820292512484657849089282, 11790184577738583171520872861412518665678211592275841109096962
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,11
Eric Weisstein's World of Mathematics, Generalized Fermat Number
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FORMULA
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a(n) = (a(n-1)^2-1)+1 = A011764(n)+1 = A059918(n+1)/A059918(n) = (A059917(n+1)-1)/(A059917(n)-1) = (A059723(n)/A059723(n+1))*(A059723(n+2)-A059723(n+1))/(A059723(n+1)-A059723(n))
a(n) = A057727(n)-1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2007
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EXAMPLE
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a(2) = 3^(2^2)+1 = 3^4+1 = 81+1 = 82
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PROGRAM
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(PARI) { for (n=0, 11, write("b059919.txt", n, " ", 3^(2^n) + 1); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 30 2009]
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CROSSREFS
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Sequence in context: A124724 A146304 A152397 this_sequence A143047 A156329 A125855
Adjacent sequences: A059916 A059917 A059918 this_sequence A059920 A059921 A059922
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 08 2001
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