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A109693 Decimal expansion of sum_n=1^inf 1/sigma(n)^2. 0
1, 3, 0, 6, 4, 5, 6, 5, 1, 2, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..11.

FORMULA

product_p sum_k=0^inf 1/sigma(p^k)^2

EXAMPLE

1.3064565120...

PROG

(PARI) N=1000000000 prodeuler(p=2, N, sum(k=1, 200/log(p), if(k==1, 1., 1./((p^k-1)/(p-1))^2)))*(1+1/N/log(N))

CROSSREFS

Cf. Sigma function A000203.

Sequence in context: A088162 A133170 A062542 * A188858 A199610 A004606

Adjacent sequences:  A109690 A109691 A109692 * A109694 A109695 A109696

KEYWORD

cons,more,nonn

AUTHOR

Franklin T. Adams-Watters, Aug 07 2005

STATUS

approved

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Last modified June 20 07:05 EDT 2013. Contains 226422 sequences.