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Search: id:A074329
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| A074329 |
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n-th highly composite number equals a(n)-th composite number. |
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+0 1
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| 0, 0, 1, 2, 6, 14, 24, 32, 42, 89, 138, 187, 287, 591, 693, 1054, 1416, 2151, 4364, 6600, 8842, 13354, 17879, 22418, 24697, 40653, 45227, 49811, 75040, 100357, 151121, 202000, 252981, 304025, 457506, 508744, 611307, 662636, 996722, 1331409
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OFFSET
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1,4
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COMMENT
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Since 1 is taken to be the first highly composite number and the 2nd highly composite is the prime 2, so first 2 terms here were taken to be zero. Definition of A002182 is not precise enough.
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FORMULA
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a(n)=A002182(n)-A000720[A002182(n)]-1; A002182(m)=A002808[a(m)].
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EXAMPLE
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3rd term is 4, the first composite number; the 6th highly composite number is 24, the 14th composite number.
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MATHEMATICA
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t[x_] := A002182[x]; Table[Part[t, w]-PrimePi[Part[t, w]]-1, {w, 1, Length[t]}]
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CROSSREFS
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Cf. A002182, A002808, A000720.
Sequence in context: A119844 A016060 A032386 this_sequence A109592 A106353 A002703
Adjacent sequences: A074326 A074327 A074328 this_sequence A074330 A074331 A074332
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana/sote.hu), Aug 21 2002
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