%I #5 Oct 15 2013 22:31:31
%S 97,74,66,14,40,17,25,14,22,27,40,14,45,27,17,14,40,38,27,14,56,17,20,
%T 14,22,27,30,14,100,30,17,14,22,33,20,14,22,17,30,14,20,30,53,14,38,
%U 20,17,14,51,25,66,14,35,17,22,14,25,20,64,14,38,40,17,14,45,25,22,14,27
%N Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+27. Corresponds to selection of every 16th term from A074474.
%C Remark that initial values of form 64m+r, if r={3,11,19,27,35,43,51,55} provide first-sink-lengths {7,9,7,9,7,9,7,9} respectively; e.g. {64k+19,192k+58,96k+29,288k+88,144k+44,72k+22,36k+11} submerge first below initial value at the 7th term,36k+11<64k+19.
%F a(n)=A075473[64n+27], n=0, ..., 256
%e n=0: 64n+27=27, list={27, 82, 41, 46.23.70, ..}, i.e. the 97th term is the first that <27, the initial value.
%Y Cf. A074473, A074474, A075476-A075482, A006370.
%K nonn
%O 0,1
%A _Labos Elemer_, Sep 23 2002
|