login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272531 Decimal expansion of C_2 (so named by S. Finch), a constant which is an analog of Niven's constant when mean of exponents is considered instead of maximum. 0
1, 1, 8, 7, 3, 0, 9, 3, 4, 9, 5, 7, 6, 4, 0, 8, 4, 3, 0, 1, 7, 6, 6, 6, 8, 8, 4, 1, 1, 5, 5, 3, 3, 8, 6, 2, 3, 1, 2, 5, 7, 8, 6, 6, 6, 9, 9, 6, 2, 5, 4, 8, 8, 7, 8, 3, 9, 5, 9, 6, 0, 8, 7, 8, 7, 8, 9, 3, 3, 9, 3, 1, 2, 6, 6, 5, 9, 0, 2, 9, 0, 1, 1, 6, 2, 5, 1, 7, 7, 7, 9, 0, 3, 2, 3, 6, 9, 8, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.2 Meissel-Mertens constants (pp. 94-95) and Section 2.6 Niven's constant p.112.

LINKS

Table of n, a(n) for n=0..99.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 15.

Steven R. Finch, Errata and Addenda to Mathematical Constants [Cached copy, with permission of the author]

Eric Weisstein's MathWorld, Niven's Constant

FORMULA

C_2 = C_1 (1 - M) - N, using Finch's notation, where C_1 is A136141, M A077761 and N A085548.

EXAMPLE

0.1187309349576408430176668841155338623125786669962548878395960878789...

MATHEMATICA

digits = 100;

C1 = NSum[PrimeZetaP[n], {n, 2, Infinity}, WorkingPrecision -> digits + 10, NSumTerms -> 2*digits] ;

M = EulerGamma - NSum[PrimeZetaP[n]/n, {n, 2, Infinity}, WorkingPrecision -> digits + 10, NSumTerms -> 3*digits] ;

N0 = PrimeZetaP[2];

C2 = C1 (1 - M) - N0;

RealDigits[C2, 10, digits][[1]]

CROSSREFS

Cf. A033150, A077761, A085548, A136141.

Sequence in context: A155068 A244839 A203069 * A244684 A201742 A019764

Adjacent sequences:  A272528 A272529 A272530 * A272532 A272533 A272534

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, May 02 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 01:59 EDT 2019. Contains 328038 sequences. (Running on oeis4.)