A132799 - OEIS

A132799

Decimal expansion of the convergent to the sum of (1/8)^p where p ranges over the set of prime numbers.

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

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..97.

FORMULA

Equals 7 * Sum_{k>=1} pi(k)/8^(k+1), where pi(k) = A000720(k). - Amiram Eldar, Aug 11 2020

EXAMPLE

0.01760911...

PROG

(PARI) /* Sum of 1/m^p for primes p */ sumnp(n, m) = { local(s=0, a, j); for(x=1, n, s+=1./m^prime(x); ); a=Vec(Str(s)); for(j=3, n, print1(eval(a[j])", ") ) }

CROSSREFS

Cf. A000720, A132822 (base 7), A132821 (base 9).

Sequence in context: A111764 A194348 A094123 * A154580 A256319 A324688

Adjacent sequences: A132796 A132797 A132798 * A132800 A132801 A132802

KEYWORD

cons,nonn

AUTHOR

Cino Hilliard, Nov 17 2007

EXTENSIONS

Offset corrected R. J. Mathar, Jan 26 2009

STATUS

approved