A083804 a(1) = 1. If the (n-1)th partial concatenation is divisible by n then a(n) = 0. Otherwise, a(n) is the smallest positive number such that the n-th partial concatenation is divisible by n.

1, 2, 0, 0, 0, 0, 3, 2, 1, 10, 0, 8, 16, 8, 15, 20, 9, 4, 24, 20, 13, 28, 25, 28, 25, 30, 32, 20, 9, 10, 27, 2, 16, 10, 5, 36, 26, 10, 33, 20, 33, 46, 26, 28, 30, 50, 4, 48, 13, 50, 3, 12, 12, 6, 30, 64, 53, 56, 61, 60, 69, 36, 12, 8, 65, 74, 66, 4, 44, 20, 3, 76, 31, 62, 75, 6, 85, 56

Offset

1,2

Links

Table of n, a(n) for n=1..78.

Example

1,12,120,1200,12000,120000 1200003 etc. are multiples of 1,2,3,4,5,6 and 7 respectively.

Crossrefs

Cf. A083805.

Cf. A051883, A073894, A099552.

Sequence in context: A213618 A319072 A348271 * A341840 A028597 A353753

Adjacent sequences: A083801 A083802 A083803 * A083805 A083806 A083807

Keyword

base,easy,nonn

Author

Amarnath Murthy, May 08 2003

Extensions

Corrected and extended by David Wasserman, Nov 30 2004

Status

approved