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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. 7

%I #5 Mar 31 2017 20:38:05

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

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

%C a(A165330(n)) = 0;

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

%C a(A008585(n)) = A003620(n), n>0. [From _Reinhard Zumkeller_, Nov 21 2009]

%H R. Zumkeller, <a href="/A165331/b165331.txt">Table of n, a(n) for n = 0..20000</a>

%K base,nonn

%O 0,3

%A _Reinhard Zumkeller_, Sep 17 2009

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