cp's OEIS Frontend

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.

%I A165331 #5 Mar 31 2017 20:38:05
%S A165331 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,
%T A165331 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,
%U A165331 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
%N 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.
%C A165331 a(A046197(k)) = 0 for k: 1 <= k <= 6;
%C A165331 a(A046156(k)) = 0 for k: 1 <= k <= 16;
%C A165331 a(A165330(n)) = 0;
%C A165331 a(A165340(n,k)) = n - k, 0<=k<=n.
%C A165331 a(A008585(n)) = A003620(n), n>0. [From _Reinhard Zumkeller_, Nov 21 2009]
%H A165331 R. Zumkeller, <a href="/A165331/b165331.txt">Table of n, a(n) for n = 0..20000</a>
%K A165331 base,nonn
%O A165331 0,3
%A A165331 _Reinhard Zumkeller_, Sep 17 2009