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A074329 n-th highly composite number equals a(n)-th composite number. +0
1
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 (list; graph; listen)
OFFSET

1,4

COMMENT

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.

FORMULA

a(n)=A002182(n)-A000720[A002182(n)]-1; A002182(m)=A002808[a(m)].

EXAMPLE

3rd term is 4, the first composite number; the 6th highly composite number is 24, the 14th composite number.

MATHEMATICA

t[x_] := A002182[x]; Table[Part[t, w]-PrimePi[Part[t, w]]-1, {w, 1, Length[t]}]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana/sote.hu), Aug 21 2002

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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