A080462 Define f(k) = Floor [ k/ sum of the digits of k]. Let f(f(...(n))) = m where m is divisible by the sum of the digits of m. Then a(n)= one more than the least number of steps to obtain m.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1

Offset

1,11

Links

Table of n, a(n) for n=1..100.

Example

a(24) = 1 as 24 is divisible by 2+4. a(23) = 2, since f(23) = 4. a(14835)= 3 because f(14835) = 76, f(76) = 5, etc.

Crossrefs

Cf. A066578.

Sequence in context: A258595 A233544 A026535 * A194823 A098396 A297773

Adjacent sequences: A080459 A080460 A080461 * A080463 A080464 A080465

Keyword

base,easy,nonn

Author

Amarnath Murthy, Mar 02 2003

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003

Status

approved