A342232 a(1) = 2, a(n) = smallest palindromic nontrivial multiple of a(n-1) containing all decimal digits of a(n-1).

2, 22, 242, 24442, 4204024, 42044444024, 4204486446844024, 420448648888888846844024, 42049644864886388888368846844694024

Offset

1,1

Comments

Differs from A082777 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(5) = 4204024 is a palindromic multiple of a(4) = 24442 and contains two '2' and three '4', all the digits of a(4).

Crossrefs

Cf. A055642, A082777.

Sequence in context: A322283 A151617 A334603 * A082777 A229465 A072076

Adjacent sequences: A342229 A342230 A342231 * A342233 A342234 A342235

Keyword

nonn,base,more

Author

Chai Wah Wu, Mar 08 2021

Extensions

a(9) from Martin Ehrenstein, Mar 10 2021

Status

approved