A302937 Decimal expansion of continued fraction 1/(4+1/(6+1/(8+1/(9+1/(10+...))))).

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

Offset

0,1

Comments

Decimal expansion of the constant whose continued fraction form is the sequence of all the composite numbers.

Links

Table of n, a(n) for n=0..104.

Example

0.24019347271354040290765990165361943880486990402195476057141424611256753...

Maple

with(numtheory); P:=proc(q) local a, n; a:=0; for n from q by -1 to 4 do if not isprime(n) then a:=1/(a+n); fi; od; print(evalf(a, 120)); end: P(10^4);

Mathematica

RealDigits[ Fold[1/(#1 + #2) &, 1, Reverse[ Composite@# & /@ Range@40]], 10, 111][[1]] (* Robert G. Wilson v, Apr 29 2018 *)

Crossrefs

Cf. A002808, A084255.

Sequence in context: A308460 A244116 A138133 * A363367 A005657 A009332

Adjacent sequences: A302934 A302935 A302936 * A302938 A302939 A302940

Keyword

nonn,easy,cons

Author

Paolo P. Lava, Apr 16 2018

Status

approved