cp's OEIS Frontend

A075479 Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+31. Corresponds to selection of every 16th term from A074474.

%I A075479 #6 Oct 15 2013 22:31:31
%S A075479 92,14,35,51,17,14,25,27,22,14,64,17,22,14,61,43,131,14,27,22,17,14,
%T A075479 33,35,22,14,53,17,20,14,43,22,22,14,45,22,17,14,35,43,20,14,25,17,25,
%U A075479 14,20,22,27,14,38,20,17,14,27,22,30,14,25,17,33,14,40,20,69,14,115,27,17
%N A075479 Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+31. Corresponds to selection of every 16th term from A074474.
%C A075479 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 A075479 a(n)=A075473[64n+31], n=0, ..., 256
%e A075479 n=1: 64n+31=95,list={95,286,143,430,215,646,323,970, 485,1456,728,364,182,91,274,...}, i.e. the 14th term=91 is the first that <95, the initial value, so a(1)=14.
%Y A075479 Cf. A074473, A074474, A075476-A075482, A006370.
%K A075479 nonn
%O A075479 0,1
%A A075479 _Labos Elemer_, Sep 23 2002