A232485 a(1) = 3; thereafter a(n+1) = a(n) + product of digits of a(n).

3, 6, 12, 14, 18, 26, 38, 62, 74, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102

Offset: 1

Author

N. J. A. Sloane, Nov 29 2013

Keywords

• nonn
• base

References

• GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See page 36.

Links

• Index entries for Colombian or self numbers and related sequences
• Index entries for linear recurrences with constant coefficients, signature (1).

Crossrefs

Cf. A063108, A230102, A232486.

Programs

Mathematica

NestList[#+Times@@IntegerDigits[#]&,3,70] (* Harvey P. Dale, Jul 02 2017 *)