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Search: id:A068988
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| A068988 |
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a(n) = first position in the decimal expansion of e where the pattern "1,2,...,n" occurs. |
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+0
1
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OFFSET
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1,1
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COMMENT
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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 100,000-th term in the digit sequence of e.
It appears that a(7) > 5000000. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 21 2002
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LINKS
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R. Nemiroff and J. Bonnell, The first 5 million digits of the number e
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MATHEMATICA
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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}]
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CROSSREFS
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Cf. A001113 (e, with several sources of digits).
Sequence in context: A005336 A062226 A110717 this_sequence A136025 A062604 A120061
Adjacent sequences: A068985 A068986 A068987 this_sequence A068989 A068990 A068991
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KEYWORD
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nonn,base
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Apr 01 2002
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EXTENSIONS
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More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 21 2002
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