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A068988 a(n) = first position in the decimal expansion of e where the pattern "1,2,...,n" occurs. 0
3, 371, 604, 1004, 166413, 420753 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

1. We may never know if a(n) is defined for all n.

2. We split up the digits of any number > 9 in the pattern, e.g., if n = 11, we search for the pattern "1,2,3,4,5,6,7,8,9,1,0,1,1".

3. The pattern "1,2,3,4,5" does not occur before the 100,000th term in the digit sequence of e.

It appears that a(7) > 5000000. - Rick L. Shepherd, Aug 21 2002

LINKS

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

R. Nemiroff and J. Bonnell, The first 5 million digits of the number e

MATHEMATICA

p = ToString[N[E, 100000]/10]; t = {1, 12, 123, 1234}; g[n_] := StringPosition[p, ToString[n]][[1]][[1]] - 2; Table[g[t[[i]]], {i, 1, 4}]

CROSSREFS

Cf. A001113 (e, with several sources of digits).

Sequence in context: A324269 A173648 A110717 * A136025 A157577 A062604

Adjacent sequences:  A068985 A068986 A068987 * A068989 A068990 A068991

KEYWORD

nonn,base

AUTHOR

Joseph L. Pe, Apr 01 2002

EXTENSIONS

More terms from Rick L. Shepherd, Aug 21 2002

STATUS

approved

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Last modified May 15 23:51 EDT 2022. Contains 353687 sequences. (Running on oeis4.)