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%I #7 Jun 02 2013 03:41:50
%S 1,8,12,8,11,16,5,12,11,2,18,13,17,17,13,11,11,11,13,9,13,14,11,11,11,
%T 19,12,5,12,12,17,14,15,17,13,14,17,6,4,9,14,14,16,17,13,9,9,11,14,11,
%U 15,14,11,14,11,14,11,7,13,16,17,12,15,7,6,4,18,15,14,5,9,10,12,16,13,15,12,12
%N Length of the trajectory of the map x->A003132(x) started at x=n^2 up to the end of its first period.
%C This accumulates the length of the "transient" or "pre-periodic" part of the trajectory started at n^2 plus the length of the first period.
%F a(n) = A099645(n^2)+A031176(n^2) .
%e a(5)=11 since the trajectory starting at x=5^2 is 25, 29, 85, 89, 145, 42, 20, 4, 16, 37, 58 the next term 89 is already there.
%e a(10)= 2 since the trajectory starting at x=10^2 is 100,1 and the next term is again the 1.
%e a(11)= 18 because the trajectory is 121, 6, 36, 45, 41, 17, 50, 25, 29, 85, 89, 145, 42, 20, 4, 16, 37, 58, the next 89 is already there.
%Y Cf. A031176, A160862.
%K nonn,base
%O 1,2
%A _R. J. Mathar_, Sep 16 2009
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