A073894 a(0)=1; a(n) for n > 0 is the smallest number not used earlier such that the concatenation of a(0),...,a(n) is a multiple of n+1.

1, 0, 2, 4, 5, 6, 9, 12, 15, 10, 11, 24, 25, 8, 30, 40, 41, 18, 28, 20, 27, 46, 31, 52, 50, 32, 38, 60, 61, 80, 55, 36, 44, 120, 45, 48, 78, 26, 64, 160, 93, 14, 23, 140, 95, 98, 21, 76, 51, 100, 56, 92, 84, 34, 85, 68, 3, 62, 115, 180, 81, 74, 88, 128, 75, 58, 72, 124, 134

Offset

0,3

Comments

Does every nonnegative integer eventually appear?

Links

Table of n, a(n) for n=0..68.

Example

Concatenation of a(0),...,a(6) is 1024569, not used so far are 3, 7, 8, 10, 11, 12, ..., the smallest of these that appended to 1024569 gives a multiple of 8 is 12: 102456912 = 8*12807114, hence a(7) = 12.

Crossrefs

Cf. A100769, A099552, A051883, A073893.

Sequence in context: A287370 A089969 A166944 * A341496 A056635 A288429

Adjacent sequences: A073891 A073892 A073893 * A073895 A073896 A073897

Keyword

base,nonn

Author

Amarnath Murthy, Aug 17 2002

Extensions

Edited and extended by Klaus Brockhaus, Mar 28 2006

Status

approved