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

Author

Amarnath Murthy, May 08 2003

Keywords

• base
• easy
• nonn

Examples

			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.

Extensions

Corrected and extended by David Wasserman, Nov 30 2004