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A083342 Decimal expansion of average deviation of the total number of prime factors. 3
1, 0, 3, 4, 6, 5, 3, 8, 8, 1, 8, 9, 7, 4, 3, 7, 9, 1, 1, 6, 1, 9, 7, 9, 4, 2, 9, 8, 4, 6, 4, 6, 3, 8, 2, 5, 4, 6, 7, 0, 3, 0, 7, 9, 8, 4, 3, 4, 4, 3, 8, 5, 2, 5, 4, 5, 0, 3, 0, 7, 0, 2, 8, 1, 2, 8, 1, 6, 3, 3, 5, 3, 9, 3, 8, 6, 6, 0, 1, 6, 0, 7, 5, 4, 7, 9, 4, 1, 3, 9, 0, 2, 5, 7, 5, 6, 7, 4, 6, 9, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Or, decimal expansion of constant B2 from the summatory function of the restricted divisor function.

REFERENCES

S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98

J. Sandor, B. Crstici, Handbook of Number Theory II, p 155, Chapter V, 1) b).

LINKS

Table of n, a(n) for n=1..102.

Dimbinaina Ralaivaosaona, Faratiana Brice Razakarinoro, An explicit upper bound for Siegel zeros of imaginary quadratic fields, arXiv:2001.05782 [math.NT], 2020.

Eric Weisstein's World of Mathematics, Prime Factor

Eric Weisstein's World of Mathematics, Mertens Constant

FORMULA

Equals A077761 + A136141. - Jean-François Alcover, Sep 02 2015

EXAMPLE

1.03465388189743791161979429846463825467030798434438525450307...

MATHEMATICA

digits = 102; Mp = EulerGamma - NSum[PrimeZetaP[n]/n - PrimeZetaP[n], {n, 2, Infinity}, WorkingPrecision -> digits + 10, NSumTerms -> 3*digits]; RealDigits[Mp, 10, digits] // First (* Jean-François Alcover, Sep 02 2015 *)

CROSSREFS

Cf. A077761, A136141.

Sequence in context: A326417 A047840 A037189 * A016655 A057757 A336717

Adjacent sequences:  A083339 A083340 A083341 * A083343 A083344 A083345

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Sep 25 2003

STATUS

approved

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Last modified August 12 02:46 EDT 2020. Contains 336436 sequences. (Running on oeis4.)