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%I #15 Nov 27 2017 02:49:04
%S 2,3,7,14,29,58,110,202,358,614,1668,1750,1834,1923,2015,2111,2211,
%T 2316,2425,2538,2656,2780,2908,3042,3181,3326,3477,3633,3797,3967,
%U 4143,4327,4518,4716,4923,5137,5360,5591,5832,6082,6341,6610,6889,7179,7480
%N a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.
%F For n > 0, a(n) = ceiling((d + n/10^d)^10) where d = 1 + floor(log_10(n)). - _Jon E. Schoenfield_, Nov 26 2017
%e a(7)=202 -> 202^(1/10) = 1.{7}0033751...;
%e a(8)=358 -> 358^(1/10) = 1.{8}0048000... and a(7)=202 < a(8)=358.
%e From _Jon E. Schoenfield_, Nov 26 2017: (Start)
%e n a(n) a(n)^(1/10)
%e -- ----- ---------------
%e 0 2 1.{0}7177346...
%e 1 3 1.{1}1612317...
%e 2 7 1.{2}1481404...
%e 3 14 1.{3}0200545...
%e 4 29 1.{4}0036033...
%e 5 58 1.{5}0086904...
%e 6 110 1.{6}0007105...
%e 7 202 1.{7}0033751...
%e 8 358 1.{8}0048000...
%e 9 614 1.{9}0027667...
%e 10 1668 2.{10}000149...
%e 11 1750 2.{11}010372...
%e 12 1834 2.{12}001987...
%e ...
%e 99 57110 2.{99}000019...
%e 100 81963 3.{100}00064...
%e 101 82228 3.{101}00147... (End)
%Y Cf. A034065, A034085.
%K nonn,base
%O 0,1
%A _Patrick De Geest_, Sep 15 1998
%E Name edited by _Jon E. Schoenfield_, Nov 26 2017