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

Author

Amarnath Murthy, Mar 02 2003

Keywords

• base
• easy
• nonn

Examples

			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.

Extensions

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