Search: id:A075483
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%I A075483
%S A075483 89,25,22,22,35,20,66,30,17,38,133,27,25,40,35,30,20,25,22,38,38,133,
%T A075483 51,27,17,40,22,30,20,35,22,95,131,33,20,25,27,22,27,66,17,27,71,45,33,
%U A075483 48,35,89,22,33,30,30,48,22,40,30,17,61,30,64,22,22,25,84,22,22,25,33
%N A075483 Number of iteration that first becomes smaller than the initial value 
               if Collatz-function (A006370) is iterated, starting with numbers 
               of form 64n+63.
%C A075483 1stSubmergeLengths[=A074473] with initial values belonging to other residue 
               classes modulo 64 are either listed in A075476-A075483 or can be 
               easily determined. For 64k+2s the first sink below initial value 
               is at 2nd iterate; for 64k+4s+1 the first submerge below initial 
               value comes at 4th term of iteration list; finally if initial value 
               is of 64k+4s+3 form or moreover initial value = 64k+r,r = 3,11,19,
               23,35,43,51,55 then for all k first sink emerges at the 7,9,7,9,7,
               9,7,9-th iterates respectively.
%F A075483 a(n)=A074473[64n+63]
%e A075483 n=8: 64n+63=575, the list= the 17th term 410 < 575=initial value, so 
               a(8)=17.
%Y A075483 Cf. A006370, A074472, A074473, A075476-A075482.
%Y A075483 Sequence in context: A036951 A051328 A166321 this_sequence A033409 A152160 
               A075481
%Y A075483 Adjacent sequences: A075480 A075481 A075482 this_sequence A075484 A075485 
               A075486
%K A075483 nonn
%O A075483 0,1
%A A075483 Labos E. (labos(AT)ana.sote.hu), Sep 24 2002

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