A340036 Decimal expansion of sum of reciprocals of A005150(n) (where A005150(n) is the n-th term of the Look and Say sequence, Method A - initial term is 1).

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

Offset

1,3

Comments

The series a(n) := 1 + 1/11 + 1/21 + 1/1211 + 1/111221 + 1/312211 + ... converges to 1.139366173592639521191348935319958...

Links

Table of n, a(n) for n=1..87.

John H. Conway and Brady Haran, Look-and-Say Numbers (2014), Numberphile video.

Eric Weisstein's World of Mathematics, Look and Say Sequence.

Wikipedia, Look-and-say sequence.

Formula

Equals Sum_{k>=1} 1/A005150(k).

Example

1.139366173592639521191348935319958...

Crossrefs

Cf. A005150.

Sequence in context: A299633 A074959 A010632 * A195292 A197572 A224233

Adjacent sequences: A340033 A340034 A340035 * A340037 A340038 A340039

Keyword

cons,nonn

Author

Marco Ripà, Dec 26 2020

Extensions

More terms from Amiram Eldar, Dec 27 2020

Status

approved