A342233 a(1) = 1, a(n) = smallest palindromic nontrivial multiple of a(n-1) containing all decimal digits of a(n-1).

1, 11, 121, 12221, 2102012, 21022222012, 2102243223422012, 2102245325665235422012, 210224532568625787526865235422012

Offset

1,2

Comments

Differs from A082776 at a(5). a(n) <= (10^A055642(a(n-1))+1)*a(n-1). If a(n-1) > 10 and the last digit of a(n-1) <= 4, then a(n) <= (10^(A055642(a(n-1))-1)+1)*a(n-1).

Links

Table of n, a(n) for n=1..9.

Example

a(3) = 121 is a palindromic multiple of a(2) = 11 and contains two '1', all the digits of a(2).

Crossrefs

Cf. A055642, A082776.

Sequence in context: A263608 A088760 A080486 * A082776 A216208 A110398

Adjacent sequences: A342230 A342231 A342232 * A342234 A342235 A342236

Keyword

nonn,base,more

Author

Chai Wah Wu, Mar 06 2021

Extensions

a(9) from Martin Ehrenstein, Mar 07 2021

a(9) corrected by Chai Wah Wu, Mar 08 2021

Status

approved