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A034075 a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n. 2
2, 3, 7, 14, 29, 58, 110, 202, 358, 614, 1668, 1750, 1834, 1923, 2015, 2111, 2211, 2316, 2425, 2538, 2656, 2780, 2908, 3042, 3181, 3326, 3477, 3633, 3797, 3967, 4143, 4327, 4518, 4716, 4923, 5137, 5360, 5591, 5832, 6082, 6341, 6610, 6889, 7179, 7480 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..44.

FORMULA

For n > 0, a(n) = ceiling((d + n/10^d)^10) where d = 1 + floor(log_10(n)). - Jon E. Schoenfield, Nov 26 2017

EXAMPLE

a(7)=202 -> 202^(1/10) = 1.{7}0033751...;

a(8)=358 -> 358^(1/10) = 1.{8}0048000... and a(7)=202 < a(8)=358.

From Jon E. Schoenfield, Nov 26 2017: (Start)

    n   a(n)    a(n)^(1/10)

   --  -----  ---------------

    0      2  1.{0}7177346...

    1      3  1.{1}1612317...

    2      7  1.{2}1481404...

    3     14  1.{3}0200545...

    4     29  1.{4}0036033...

    5     58  1.{5}0086904...

    6    110  1.{6}0007105...

    7    202  1.{7}0033751...

    8    358  1.{8}0048000...

    9    614  1.{9}0027667...

   10   1668  2.{10}000149...

   11   1750  2.{11}010372...

   12   1834  2.{12}001987...

...

   99  57110  2.{99}000019...

  100  81963  3.{100}00064...

  101  82228  3.{101}00147... (End)

CROSSREFS

Cf. A034065, A034085.

Sequence in context: A131666 A135258 A034065 * A281716 A192570 A019595

Adjacent sequences:  A034072 A034073 A034074 * A034076 A034077 A034078

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998

EXTENSIONS

Name edited by Jon E. Schoenfield, Nov 26 2017

STATUS

approved

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Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)