A274030 Decimal representation of continued fraction sigma(1)-1, sigma(2)-2, sigma(3)-3, sigma(4)-4, ...

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

Offset

1,2

Comments

Good approximation up to the 9th decimal digits: 11710/21017.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..1000

Example

0.557168006978769275175928974699... = [0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 14]

Maple

with(numtheory): P:=proc(q) local a, n; a:=sigma(q)-q+1;
for n from q-1 by -1 to 1 do a:=sigma(n)-n+1/a; od;
lprint(evalf(a, 100)); end: P(1);

Crossrefs

Cf. A000203, A001065, A223854, A223855, A223856.

Sequence in context: A173932 A249649 A226571 * A061382 A113272 A222392

Adjacent sequences: A274027 A274028 A274029 * A274031 A274032 A274033

Keyword

nonn,cons

Author

Paolo P. Lava, Jun 07 2016

Status

approved