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

1010, 11100917431192660550458715596330275229357798165137614678899082568807339449541284403669724770642201834862385321, 12100840336134453781512605042016806722689075630252, 13100775193798449612403, 141007194244604316546762589928057553956834532374

Offset: 1

Author

Eric Angelini and Jean-Marc Falcoz, Jul 30 2018

Keywords

• nonn
• base
• fini

Comments

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.

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

Examples

			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).
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).
		

Links

• Jean-Marc Falcoz, Table of n, a(n) for n = 1..10

Crossrefs

Cf. A092697 (least n-parasitic numbers).