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A100587 Number of non-empty subsets of divisors of n. +0
2
1, 3, 3, 7, 3, 15, 3, 15, 7, 15, 3, 63, 3, 15, 15, 31, 3, 63, 3, 63, 15, 15, 3, 255, 7, 15, 15, 63, 3, 255, 3, 63, 15, 15, 15, 511, 3, 15, 15, 255, 3, 255, 3, 63, 63, 15, 3, 1023, 7, 63, 15, 63, 3, 255, 15, 255, 15, 15, 3, 4095, 3, 15, 63, 127, 15, 255, 3, 63, 15, 255, 3, 4095, 3 (list; graph; listen)
OFFSET

1,2

FORMULA

a[n]=-1+2^tau[n], tau[n]=DivisorSigma[0, n]=A000005[n]

EXAMPLE

For all prime numbers p, a[p]=3, since those subsets are {{1,p},{1},{p}}.

CROSSREFS

Cf. A100371, A000005, A066781.

Adjacent sequences: A100584 A100585 A100586 this_sequence A100588 A100589 A100590

Sequence in context: A122978 A119347 A062402 this_sequence A099282 A002937 A085870

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Dec 01 2004

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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