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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 July 15 12:56 EDT 2024. Contains 374332 sequences. (Running on oeis4.)