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A004514
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Generalized nim sum n + n in base 4.
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3
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0, 2, 0, 2, 8, 10, 8, 10, 0, 2, 0, 2, 8, 10, 8, 10, 32, 34, 32, 34, 40, 42, 40, 42, 32, 34, 32, 34, 40, 42, 40, 42, 0, 2, 0, 2, 8, 10, 8, 10, 0, 2, 0, 2, 8, 10, 8, 10, 32, 34, 32, 34, 40, 42, 40, 42, 32, 34, 32, 34, 40, 42, 40, 42, 128, 130, 128, 130, 136, 138, 136, 138, 128
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) = n + A053985(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 27 2003
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LINKS
| Index entries for sequences related to Nim-sums
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FORMULA
| Generalized nim sum m + n in base q: write m and n in base q and add mod q with no carries, e.g. 5 + 8 in base 3 = "21" + "22" = "10" = 1.
a(n) = 2*(n-a(floor(n/2))). a(n) = 2*A063694(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 23 2003
Equals A088442 - 1. - Chris Groer (cgroer(AT)math.uga.edu), Nov 10, 2003
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CROSSREFS
| Sequence in context: A201735 A029593 A196504 * A137302 A091518 A096734
Adjacent sequences: A004511 A004512 A004513 * A004515 A004516 A004517
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KEYWORD
| base,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 27 2003
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