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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. 0
338, 2543, 91668, 170596, 420297, 33909384 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

Table of n, a(n) for n=1..6.

Jingwei Liu and Yongzhi Pan, Slopi

PROG

(C) See Liu & Pan link.

CROSSREFS

Cf. A001113.

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

Sequence in context: A186052 A186044 A070311 * A221799 A059976 A232782

Adjacent sequences:  A205645 A205646 A205647 * A205649 A205650 A205651

KEYWORD

nonn,base,more

AUTHOR

Jingwei Liu, Jan 30 2012

STATUS

approved

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Last modified January 20 12:47 EST 2019. Contains 319330 sequences. (Running on oeis4.)