Search: id:A036761
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%I A036761
%S A036761 1,1,0,1,2,2,4,8,13,22,39,77,137,254,459,889,1665,3175,6041,11619,22319,
%T A036761 42979
%N A036761 Number of refactorable integers (A033950) of binary order (A029837) n.
%C A036761 Since for any epsilon d[ n ]<=n^epsilon if n is large enough, a[ n ] 
               does not grow too fast.
%F A036761 di[ x_ ] := Divisors[ x ]; ldi[ x_ ] := Length[ Divisors[ x ] ]; md[ 
               x_ ] := MemberQ[ di[ x ], ldi[ x ] ] is used to form counting program 
               line.
%e A036761 {1} has binary order 0, {2} has binary order 1, no term has binary order 
               2, {8} has binary order 3, {9,12} have binary order 4, {18,24} have 
               binary order 5,...
%e A036761 The 8 numbers, between 63 and 128 (with binary order 7) which are divided 
               by d(x) (A000005) are 72,80,84,88,96,104,108,128, so a[ 7 ]=8.
%Y A036761 A000005, A033950.
%Y A036761 Sequence in context: A079092 A039941 A104700 this_sequence A042979 A000018 
               A075126
%Y A036761 Adjacent sequences: A036758 A036759 A036760 this_sequence A036762 A036763 
               A036764
%K A036761 nonn
%O A036761 0,5
%A A036761 Labos E. (labos(AT)ana.sote.hu)

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