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A302937 Decimal expansion of continued fraction 1/(4+1/(6+1/(8+1/(9+1/(10+...))))). 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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 * A005657 A009332 A045872

Adjacent sequences:  A302934 A302935 A302936 * A302938 A302939 A302940

KEYWORD

nonn,easy,cons

AUTHOR

Paolo P. Lava, Apr 16 2018

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)