A132120 Decimal expansion of the constant obtained through Pierce retro-expansion of the prime sequence.

3, 6, 2, 3, 0, 6, 2, 2, 2, 3, 6, 6, 4, 9, 8, 0, 4, 8, 7, 9, 8, 6, 2, 6, 3, 7, 2, 2, 2, 4, 0, 9, 3, 4, 6, 1, 8, 1, 1, 1, 7, 9, 8, 5, 8, 5, 3, 4, 4, 2, 0, 9, 9, 9, 7, 5, 9, 9, 5, 1, 0, 1, 7, 0, 2, 7, 8, 4, 1, 8, 8, 6, 3, 0, 6, 8, 9, 6, 5, 0

Offset

0,1

Comments

The asymptotic density of numbers which have an odd number of the trailing zeros in their primorial base representation (A342050). - Amiram Eldar, Feb 28 2021

Links

Paolo P. Lava, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Pierce Expansion.

Formula

Equals Sum_{i>=1} (-1)^(i+1)/A002110(i).

Example

0.3623062223664980487986263722240934618111798585344209997599510170278418863068...

Maple

Digits := 80 : a := 0 : for i from 1 to 100 do a := a+(-1.0)^(i-1)/mul(ithprime(j), j=1..i) ; print(a) ; od:

Prog

(PARI) P=1; -sumalt(n=1, (-1)^n/P*=prime(n)) \\ Charles R Greathouse IV, Oct 03 2016

Crossrefs

Cf. A064648, A342050.

Sequence in context: A058099 A292789 A124085 * A021280 A282728 A193537

Adjacent sequences: A132117 A132118 A132119 * A132121 A132122 A132123

Keyword

cons,nonn

Author

R. J. Mathar, Oct 31 2007

Extensions

Corrected last entry by Paolo P. Lava, May 28 2013

Status

approved