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

Author

Marco Ripà, Dec 26 2020

Keywords

• cons
• nonn

Comments

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

Examples

			1.139366173592639521191348935319958...
		

Links

• 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.

Crossrefs

Cf. A005150.

Formula

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

Extensions

More terms from Amiram Eldar, Dec 27 2020