A205648 Self-locating strings within e: numbers n such that the string n is at position n (after the decimal point) in decimal digits of e.

338, 2543, 91668, 170596, 420297, 33909384

Offset: 1

Author

Jingwei Liu, Jan 30 2012

Keywords

• nonn
• base
• more

Comments

a(7) is greater than 10^9.

Heuristically (assuming e is 10-normal and in the absence of any 'conspiracy' amongst the digits) about 1 - exp(-0.9) = 59.3...% of the time there is some d-digit number in this sequence, and a(n) is on the order of 12.9...^(n + o(1)). [Charles R Greathouse IV, Mar 16 2012]

Links

• Jingwei Liu and Yongzhi Pan, Slopi

Crossrefs

Cf. A001113.

Similar to A057680 (self-locating strings within Pi).

Programs

C

See Liu & Pan link.