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

0,3

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.

Sequence in context: A254288 A281858 A037232 * A051182 A281860 A161362

Adjacent sequences: A165327 A165328 A165329 * A165331 A165332 A165333

Keyword

base,nonn

Author

Reinhard Zumkeller, Sep 17 2009

Status

approved