A165331 Number of iterations until a fixed point or cycle is reached when repeatedly replacing a number with the sum of the cubes of its digits.

0, 0, 7, 3, 4, 6, 10, 6, 6, 4, 1, 8, 5, 3, 6, 10, 1, 8, 2, 2, 7, 5, 2, 7, 3, 1, 8, 2, 2, 3, 3, 3, 7, 6, 3, 6, 6, 1, 8, 6, 4, 6, 3, 3, 7, 5, 3, 1, 6, 3, 6, 10, 1, 6, 5, 0, 5, 5, 8, 10, 10, 1, 8, 6, 3, 5, 6, 7, 11, 6, 6, 8, 2, 1, 1, 5, 7, 7, 8, 2, 6, 2, 2, 8, 6, 8, 11, 8, 3, 3, 4, 2, 3, 6, 3, 10, 6, 2, 3, 4, 1, 8

Offset: 0

Author

Reinhard Zumkeller, Sep 17 2009

Keywords

• base
• nonn

Comments

a(A046197(k)) = 0 for k: 1 <= k <= 6;

a(A046156(k)) = 0 for k: 1 <= k <= 16;

a(A165330(n)) = 0;

a(A165340(n,k)) = n - k, 0<=k<=n.

a(A008585(n)) = A003620(n), n>0. [From Reinhard Zumkeller, Nov 21 2009]

Links

• R. Zumkeller, Table of n, a(n) for n = 0..20000