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A109693 Decimal expansion of sum_n=1^inf 1/sigma(n)^2. +0
1
1, 3, 0, 6, 4, 5, 6, 5, 1, 2, 0 (list; cons; graph; listen)
OFFSET

1,2

FORMULA

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

EXAMPLE

1.3064565120...

PROGRAM

(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.

Adjacent sequences: A109690 A109691 A109692 this_sequence A109694 A109695 A109696

Sequence in context: A088162 A133170 A062542 this_sequence A004606 A019808 A056459

KEYWORD

cons,more,nonn

AUTHOR

Frank Adams-Watters (FrankTAW(AT)netscape.net), Aug 07 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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