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URL: https://oeis.org/A066772

⇱ A066772 - OEIS

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A066772
Continued fraction expansion for Sum_{k>=1} d(k)/2^k where d(k) are divisors of k, 1 <= d <= k.
1
2, 1, 2, 1, 9, 1, 2, 1, 1, 1, 5, 8, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 3, 4, 12, 1, 1, 1, 11, 4, 15, 6, 3, 3, 2, 1, 20, 4, 4, 1, 4, 1, 2, 1, 2, 6, 1, 2, 1, 28, 107, 1, 4, 4, 3, 1, 2, 2, 4, 2, 3, 51, 1, 1, 1, 4, 2, 4, 1, 20, 20, 1, 14, 3, 27, 1, 4, 3, 14, 329, 1, 1, 1, 111, 2, 3, 1, 2, 1, 4, 1, 6, 1, 4, 1
OFFSET
0,1
COMMENTS
A(1669) accurate to 500 decimal digits.
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 354-361.
LINKS
Steven R. Finch, Digital Search Tree Constants [Broken link]
Steven R. Finch, Digital Search Tree Constants [From the Wayback machine]
PROG
(PARI) {smv(v)= s=0; for(i=1, matsize(v)[2], s=s+v[i]); s }
{A066766(n)= sm=0; for(j=1, n, sm=sm+smv(divisors(j)/2^j)); sm*1.0 }
(PARI) contfrac(suminf(k=1, sigma(k)/2^k)) \\ Michel Marcus, Apr 25 2022
CROSSREFS
Cf. A066766 (decimal expansion).
Sequence in context: A201453 A260897 A342920 * A384253 A104060 A062347
KEYWORD
nonn,cofr
AUTHOR
Randall L Rathbun, Jan 16 2002
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 04 2024
STATUS
approved