A236363 Sum of digits of A114440(n).

1, 2, 3, 4, 5, 6, 7, 8, 9, 3, 9, 3, 6, 9, 9, 6, 9, 12, 9, 9, 9, 9, 12, 9, 9, 9, 9, 9, 18, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 9, 18, 18, 18, 18, 27, 18, 9, 18, 18, 27, 18, 18, 27, 27, 27, 18, 36, 27, 27, 27, 18, 27, 27, 27, 27, 27, 27, 27, 27, 27, 36, 36, 36, 36, 27

Offset: 1

Author

Ray Chandler, Jan 23 2014

Keywords

• nonn
• base
• fini
• full

Comments

Because A114440 is finite, this sequence is necessarily also finite.

Note that after a(23), all terms are divisible by 9 since all the terms that take three steps to arrive at 1 are multiples of 9 so the sum of digits of their predecessors must also be a multiple of 9.

Links

• Ray Chandler, Table of n, a(n) for n = 1..15095

Crossrefs

Cf. A005349, A007953, A114440, A235600.

Formula

a(n) = A007953(A114440(n)).