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Search: id:A147845
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| A147845 |
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Odd positive integers a(n) such that for every odd integer m>=7 there exists a unique representation of the form m=a(p)+2a(q)+4a(r) |
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+0
1
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| 1, 3, 17, 19, 129, 131, 145, 147, 1025, 1027, 1041, 1043, 1153, 1155, 1169, 1171, 8193, 8195, 8209, 8211, 8321, 8323, 8337, 8339, 9217, 9219, 9233, 9235, 9345, 9347, 9361, 9363, 65537, 65539, 65553, 65555
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Since, e.g., 27=17+2*3+4*1 and 17=a(3),3=a(2),1=a(1), then 27 has "coordinates" (3,2,1). Thus we have a one-to-one map of odd integers > =7 to the positive lattice points in the three-dimensional space.
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FORMULA
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a(n)=2A033045(n-1)+1
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CROSSREFS
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A145812 A145818 A033045 A033052 [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Nov 19 2008]
Sequence in context: A082387 A032923 A018750 this_sequence A077778 A022127 A093024
Adjacent sequences: A147842 A147843 A147844 this_sequence A147846 A147847 A147848
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Nov 15 2008
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