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 A317526 Smallest "Shift and erase" numbers beginning by (9 + n). See the Comments section. 1

%I #10 Jul 31 2018 10:00:29

%S 1010,

%T 11100917431192660550458715596330275229357798165137614678899082568807339449541284403669724770642201834862385321,

%U 12100840336134453781512605042016806722689075630252,13100775193798449612403,141007194244604316546762589928057553956834532374

%N Smallest "Shift and erase" numbers beginning by (9 + n). See the Comments section.

%C To divide a(n) by (9 + n), merely shift the leftmost digit of a(n) to the end of a(n) and erase the next digit.

%C The sequence is finite: there are no numbers having this property that start with 20,21,22,23,24,...97,98,99.

%H Jean-Marc Falcoz, <a href="/A317526/b317526.txt">Table of n, a(n) for n = 1..10</a>

%e To divide a(1) = 1010 by 10, just shift the first digit 1 to the end and erase 0 (which gives 101 -- and, indeed, 101*10 = 1010).

%e To divide a(4) = 13100775193798449612403 by 13, just shift the first digit 1 to the end and erase 3 (which gives 1007751937984496124031 -- and, indeed, 1007751937984496124031*13 = 13100775193798449612403).

%Y Cf. A092697 (least n-parasitic numbers).

%K nonn,base,fini

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Jul 30 2018

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Last modified December 6 10:32 EST 2023. Contains 367600 sequences. (Running on oeis4.)