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Search: id:A109839
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| A109839 |
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Negative numbers written in a bits-of-Pi/primorial base system. |
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+0
2
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| 1, 10, 11, 20, 21, 16400, 16401, 16410, 16411, 16420, 16421, 16300, 16301, 16310, 16311, 16320, 16321, 16200, 16201, 16210, 16211, 16220, 16221, 16100, 16101, 16110, 16111, 16120, 16121, 16000, 16001, 16010, 16011, 16020, 16021, 15400
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A109838 describes this representation system which is my example of a type appearing in one of Long's exercises.
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REFERENCES
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Calvin T. Long, Elementary Introduction to Number Theory, 2nd ed., D.C. Heath and Company, 1972, p. 30.
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EXAMPLE
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a(6) = 16400 because -6 = -210 + 180 + 24 = ((-1)^1)*1*210 + ((-1)^0)*6*30 + ((-1)^0)*4*6 + ((-1)^1)*0*2 + ((-1)^1)*0*1, where 1,1,0,0,1 are the first five terms of A004601 and 1,2,6,30,210 are the first five terms of A002110.
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CROSSREFS
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Cf. A109838 (nonnegative integers represented similarly), A004601 (Pi in binary), A002110 (primorials), A049345 (primorial base).
Sequence in context: A049345 A007623 A109827 this_sequence A087486 A102626 A014418
Adjacent sequences: A109836 A109837 A109838 this_sequence A109840 A109841 A109842
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KEYWORD
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base,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 05 2005
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