A308633 Continued fraction for the decimal expansion of the concatenation of the terms of A051699 (distance from n to closest prime).

0, 4, 1, 3, 5, 9, 1, 2, 2, 4, 7, 1, 246, 1, 2, 2, 1, 116363868, 3, 1, 1, 1, 3, 4, 282, 1, 1, 1, 2, 1, 8, 2, 1, 1, 1, 1, 7, 10, 7, 1, 2, 1, 6, 2, 1, 2, 7, 2, 11, 1, 3, 1, 4, 1, 4, 1, 3, 5, 9, 1, 1, 1, 3, 3, 1, 3, 2, 1, 5, 3, 3, 1, 32, 1, 1, 15, 3, 1, 1, 11, 9, 1

Offset

0,2

Comments

Continued fraction for .2100101012101012101012101232101012321... (see A051699).

Very high value for a(17) = 116363868. This should imply that using the first 16 terms we have a good rational approximation of this decimal expansion: 131256182/624999375 is ok up to the 25th decimal digit.

Links

Table of n, a(n) for n=0..81.

Maple

Digits:=200: with(numtheory): P:=proc(q) local a, b, n; a:=21;
for n from 2 to q do if isprime(n) then a:=10*a; else
b:=min(nextprime(n)-n, n-prevprime(n)); a:=a*10^length(b)+b; fi; od;
op(convert(evalf(a/10^length(a)), confrac, 100)); end: P(200);

Crossrefs

Cf. A030168, A051699.

Sequence in context: A240935 A090724 A343571 * A299616 A134224 A121441

Adjacent sequences: A308630 A308631 A308632 * A308634 A308635 A308636

Keyword

base,cofr,nonn,easy

Author

Paolo P. Lava, Jun 17 2019

Status

approved