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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. 2

%I #18 Aug 19 2013 03:55:18

%S 338,2543,91668,170596,420297,33909384

%N 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.

%C a(7) is greater than 10^9.

%C 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]

%H Jingwei Liu and Yongzhi Pan, <a href="https://github.com/th507/Slopi">Slopi</a>

%o (C) See Liu & Pan link.

%Y Cf. A001113.

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

%K nonn,base,more

%O 1,1

%A _Jingwei Liu_, Jan 30 2012

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Last modified April 24 07:54 EDT 2024. Contains 371922 sequences. (Running on oeis4.)