A220491 The smallest n-digit number whose last k digits are divisible by k for k = 1..n.

0, 10, 102, 1000, 10000, 102000, 1000300, 10000000, 102000600, 1000000000, 10000108360, 102000060480, 1000006930000, 10000063165960, 102000042276960, 1000000000000000, 10000000141981840, 102000006021375360, 1000000081060819840, 10000000000000000000

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Example

There are ten one-digit numbers divisible by 1, and the smallest is 0, so a(1) = 0.
For two-digit numbers, the ones digit must be divisible by 2 which gives 10 as the smallest to satisfy the requirement. So a(2) = 10.

Crossrefs

Cf. A164836.

Sequence in context: A203569 A305712 A053041 * A088644 A080502 A078283

Adjacent sequences: A220488 A220489 A220490 * A220492 A220493 A220494

Keyword

nonn,base

Author

Shyam Sunder Gupta, Aug 07 2013

Extensions

More terms from Jinyuan Wang, Mar 09 2020

Status

approved