A085946 a(1) = 1, a(2) = 2 and a(n) = smallest number not included earlier that divides the concatenation a(n-2), a(n-1).

1, 2, 3, 23, 17, 7, 59, 11, 257, 11257, 13, 1125713, 43708571, 19, 9, 199, 9199, 43, 487, 43487, 39, 228881, 811, 1973, 41, 197341, 51, 379, 191, 126397, 21, 731, 31, 57, 77, 53, 7753, 79, 70489, 346543, 121, 346543121, 47, 37, 1579, 101, 526367, 5343493

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 14 2003

Keywords

• base
• nonn

Comments

2 is the only even member. No member is divisible by 5. - David Wasserman, Feb 14 2005

Is this sequence finite? The base 2, base 3 and base 5 variants are finite, with 42514, 64 and 2786 terms respectively. - Rémy Sigrist, Oct 19 2019

Examples

			3, 23, 17 are three successive terms and 17 divides 323. Similarly 7 divides 2317.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A085946

Programs

PARI

\\ See Links section.

Extensions

More terms from David Wasserman, Feb 14 2005