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Search: id:A119564
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| A119564 |
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Define F(n) = 2^(2^n)+1 = n-th Fermat number, M(n) = 2^n-1 = the n-th Mersenne number. Then a(n) = F(n)-M(n)-1 = 2^(2^n) - 2^n + 1. |
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+0
3
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| 2, 3, 13, 249, 65521, 4294967265, 18446744073709551553, 340282366920938463463374607431768211329, 115792089237316195423570985008687907853269984665640564039457584007913129639681
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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F(2) = 2^(2^2)+1 = 17, M(2) = 2^2-1 = 3, F(2)-M(2)-1 = 13.
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PROGRAM
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(PARI) fm4(n) = for(x=0, n, y=2^(2^x)+1-(2^x-1)-1; print1(y", "))
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CROSSREFS
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Cf. A119550, A119563.
Sequence in context: A139520 A132535 A056806 this_sequence A132358 A090100 A132484
Adjacent sequences: A119561 A119562 A119563 this_sequence A119565 A119566 A119567
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 31 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 03 2006
Definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 15 2007
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