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A119571
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a(n) = 2^(2^n - 1) + 2^(2^(n + 1) - 1) + 1.
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0
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4, 11, 137, 32897, 2147516417, 9223372039002259457, 170141183460469231740910675752738881537, 57896044618658097711785492504343953926805133516280751251460479307672448925697
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Fermat-like sequence of powers of two.
Average of two consecutive Fermat numbers. - Juri-Stepan Gerasimov, Aug 26 2011.
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FORMULA
| a(n) = A058891(n+1)+A058891(n+2)+1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 22 2007
a(n) = (A000215(n)+A000215(n+1))/2. - Juri-Stepan Gerasimov, Aug 26 2011.
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MATHEMATICA
| aa = Table[2^(2^n - 1) + 2^(2^(n + 1) - 1) + 1, {n, 0, 10}]
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CROSSREFS
| Sequence in context: A055979 A018242 A006248 * A089920 A118197 A092658
Adjacent sequences: A119568 A119569 A119570 * A119572 A119573 A119574
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 31 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 03 2006
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