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A027762 Denominator of Sum 1/p; p-1 | 2n. +0
5
6, 30, 42, 30, 66, 2730, 6, 510, 798, 330, 138, 2730, 6, 870, 14322, 510, 6, 1919190, 6, 13530, 1806, 690, 282, 46410, 66, 1590, 798, 870, 354, 56786730, 6, 510, 64722, 30, 4686, 140100870, 6, 30, 3318, 230010 (list; graph; listen)
OFFSET

1,1

COMMENT

From the Von Staudt-Clausen theorem, denominator(B_2n) = product of primes p such that (p-1)|2n.

REFERENCES

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Th. 118.

H. Rademacher, Topics in Analytic Number Theory, Springer, 1973, Chap. 1.

LINKS

Index entries for sequences related to Bernoulli numbers.

CROSSREFS

Essentially same as A002445. Cf. A027761, A006954.

Sequence in context: A136375 A138706 A002445 this_sequence A151711 A130512 A127662

Adjacent sequences: A027759 A027760 A027761 this_sequence A027763 A027764 A027765

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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