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A034074 a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n. 2
2, 3, 6, 11, 21, 39, 69, 119, 199, 323, 795, 829, 866, 903, 942, 982, 1024, 1067, 1113, 1159, 1208, 1258, 1310, 1364, 1420, 1478, 1539, 1601, 1665, 1732, 1802, 1873, 1948, 2024, 2104, 2186, 2271, 2360, 2451, 2545, 2642, 2743, 2847, 2955, 3066, 3181, 3300 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..46.

FORMULA

For n > 0, a(n) = ceiling((d + n/10^d)^9) where d = 1 + floor(log_10(n)). - Jon E. Schoenfield, Dec 09 2017

EXAMPLE

   a(9) = 323 -> 323^(1/9) = 1.{9}0020422...;

  a(10) = 795 -> 795^(1/9) = 2.{10}021141... and a(9)=323 < a(10)=795.

From Jon E. Schoenfield, Dec 09 2017: (Start)

    n   a(n)     a(n)^(1/9)

   --  ------  ---------------

    0       2  1.{0}8005973...

    1       3  1.{1}2983096...

    2       6  1.{2}2028493...

    3      11  1.{3}0529988...

    4      21  1.{4}0253353...

    5      39  1.{5}0239786...

    6      69  1.{6}0072440...

    7     119  1.{7}0065542...

    8     199  1.{8}0064508...

    9     323  1.{9}0020422...

   10     795  2.{10}021141...

   11     829  2.{11}000671...

   12     866  2.{12}026857...

...

   99   19101  2.{99}001178...

  100   26440  3.{100}00492...

  101   26517  3.{101}00673... (End)

CROSSREFS

Cf. A034064, A034084.

Sequence in context: A246699 A079969 A034064 * A018175 A316356 A049856

Adjacent sequences:  A034071 A034072 A034073 * A034075 A034076 A034077

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998

EXTENSIONS

Name edited by Jon E. Schoenfield, Dec 09 2017

STATUS

approved

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Last modified October 20 22:22 EDT 2021. Contains 348119 sequences. (Running on oeis4.)