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A132120 Decimal expansion of the constant obtained through Pierce retro-expansion of the prime sequence. 6
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 (list; constant; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A058099 A292789 A124085 * A021280 A282728 A193537
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Oct 31 2007
EXTENSIONS
Corrected last entry by Paolo P. Lava, May 28 2013
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)