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A147590
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Numbers whose binary representation is the concatenation of 2n-1 digits 1 and n-1 digits 0.
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6
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1, 14, 124, 1016, 8176, 65504, 524224, 4194176, 33554176, 268434944, 2147482624, 17179867136, 137438949376, 1099511619584, 8796093005824, 70368744144896, 562949953355776, 4503599627239424, 36028797018701824, 288230376151187456
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) is the number whose binary representation is A147589(n).
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..500
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FORMULA
| a(n) = A147537(n)/2.
a(n)=8^n/4-2^(n-1) = A083332(2n-2). a(n)=10*a(n-1)-16*a(n-2). G.f.: x*(1+4*x)/((8*x-1)*(2*x-1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009]
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MAPLE
| seq(8^n/4-2^(n-1), n=1..15); # Nathaniel Johnston, Apr 30 2011
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CROSSREFS
| Cf. A138118, A147537, A147589.
Sequence in context: A167567 A188411 A125377 * A167602 A155637 A126535
Adjacent sequences: A147587 A147588 A147589 * A147591 A147592 A147593
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KEYWORD
| base,easy,nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 08 2008
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009
Typo in a(12) corrected by Omar E. Pol (info(AT)polprimos.com), Jul 20 2009
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