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A141056 A version for denominators of Bernoulli numbers : 1, A027760. +0
10
1, 2, 6, 2, 30, 2, 42, 2, 30, 2, 66, 2, 2730, 2, 6, 2, 510, 2, 798, 2 (list; graph; listen)
OFFSET

0,2

COMMENT

The denominators of the Bernoulli numbers for n>0. B_n sequence begins 1, -1/2, 1/6, 0/2, -1/30, 0/2, 1/42, 0/2, ... This is an alternative version of A027642 suggested by the theorem of Clausen. [From Peter Luschny (peter(AT)luschny.de), Apr 29 2009]

REFERENCES

Clausen, Thomas, "Lehrsatz aus einer Abhandlung Ueber die Bernoullischen Zahlen", Astr. Nachr. 17 (1840), 351-352. [From Peter Luschny (peter(AT)luschny.de), Apr 29 2009]

LINKS

Wikipedia, Bernoulli number [From Peter Luschny (peter(AT)luschny.de), Apr 29 2009]

MAPLE

Contribution from Peter Luschny (peter(AT)luschny.de), Apr 29 2009: (Start)

Clausen := proc(n) local S, i;

S := numtheory[divisors](n);

S := map(i->i+1, S);

S := select(isprime, S);

mul(i, i=S) end:

seq(Clausen(i), i=0..24); (End)

CROSSREFS

Cf. A027760, A027642. [From Peter Luschny (peter(AT)luschny.de), Apr 29 2009]

Adjacent sequences: A141053 A141054 A141055 this_sequence A141057 A141058 A141059

Sequence in context: A125032 A131980 A076743 this_sequence A027760 A140770 A141498

KEYWORD

nonn,uned

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Aug 01 2008

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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