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

0,3

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

Crossrefs

Sequence in context: A075697 A222231 A011252 * A225442 A010507 A030710

Adjacent sequences: A165328 A165329 A165330 * A165332 A165333 A165334

Keyword

base,nonn

Author

Reinhard Zumkeller, Sep 17 2009

Status

approved