A342345 a(1) = 3, a(n) = smallest palindromic nontrivial multiple of a(n-1) containing all decimal digits of a(n-1).

3, 33, 363, 36663, 6306036, 63066666036, 6304963866683694036, 6304963866689998999866683694036

Offset

1,1

Comments

Differs from A082778 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..8.

Example

a(4) = 3663 is a palindromic multiple of a(3) = 363 and contains 2 '3' and 1 '6', all the digits of a(3).

Crossrefs

Cf. A055642, A082778.

Sequence in context: A075835 A077698 A080488 * A082778 A228002 A163476

Adjacent sequences: A342342 A342343 A342344 * A342346 A342347 A342348

Keyword

nonn,base,more

Author

Chai Wah Wu, Mar 08 2021

Extensions

a(8) from Martin Ehrenstein, Mar 10 2021

Status

approved