A165330 Result of repeatedly replacing a number with the sum of the cubes of its digits until a fixed point or cycle is reached.

0, 1, 371, 153, 133, 371, 153, 370, 371, 153, 1, 371, 153, 133, 371, 153, 217, 371, 153, 370, 371, 153, 217, 371, 153, 133, 371, 153, 133, 371, 153, 133, 371, 153, 370, 371, 153, 370, 371, 153, 133, 371, 153, 370, 371, 153, 133, 407, 153, 1459, 371, 153, 133

Offset: 0

Author

Reinhard Zumkeller, Sep 17 2009

Keywords

• base
• nonn

Comments

Range = A046156;

A055012(A031179(n)) = A031179(n);

A055012(A055012(A165336(n)))=A165336(n) or A055012(A055012(A055012(A165336(n))))=A165336(n);

for n>0: a(n) = 153 iff n mod 3 = 0, see A008585; a(A165340(n,k))=153, 0<=k<=n;

a(n) = 371 or a(n) = 407 iff n mod 3 = 2, see A016789.

Links

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

Crossrefs

Cf. A031179.