A226179 Fixed points of A218468 (= least unused number which is a multiple of a digit of the preceding term).

1, 2, 10, 19, 20, 34, 51, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187

Offset: 1

Author

M. F. Hasler, May 30 2013

Keywords

• nonn
• base

Comments

Indices k for which A218468(k)=k, where A218468(k) is the least unused number to be a multiple of one digit of the preceding term of that sequence.

Hans Havermann first stated that 2*10^k is such a fixed point, for all k >= 0. More subsequences have been given by Lars Blomberg, see link.

Links

• Hans Havermann, Table of a218468(n) = n
• L. Blomberg, H. Havermann et al., in reply to E. Angelini's OP, Re: a(n+1) is the multiple of at least one digit of a(n), SeqFan list, May 29 2013.

Crossrefs

Cf. A218468.