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%I #10 Jul 10 2017 01:36:33
%S 0,1,1,2,1,5,2,3,1,2,5,2,2,1,3,4,1,2,2,2,5,2,2,5,2,4,1,3,3,5,4,5,1,2,
%T 2,4,2,3,2,4,5,3,2,2,2,6,5,4,2,3,4,2,1,2,3,4,3,2,5,2,4,3,5,6,1,2,2,2,
%U 2,4,4,3,2,5,3,8,2,4,4,4,5,6,3,3,2,4,2,3,2,3,6,8,5,2,4,5,2,4,3,3,4,5
%N Length of longest contiguous block of 1's in binary expansion of n^3.
%C a(n) = A038374(A000578(n)).
%H Antti Karttunen, <a href="/A090003/b090003.txt">Table of n, a(n) for n = 0..16384</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%t Join[{0},Table[Max[Length/@Select[Split[IntegerDigits[n^3,2]],MemberQ[#,1]&]],{n,110}]] (* _Harvey P. Dale_, Aug 28 2016 *)
%o (PARI)
%o A038374(n) = { if(n<2, return(n)); n>>=valuation(n, 2); if(n<2, return(n)); my(e=valuation(n+1, 2)); max(e, A038374(n>>e)); } \\ After _Charles R Greathouse IV_, Jan 12 2014
%o A090003(n) = A038374(n^3); \\ _Antti Karttunen_, Jul 09 2017
%Y Cf. A000120, A090001, A090002, A090049.
%K nonn,base
%O 0,4
%A _Reinhard Zumkeller_, Nov 20 2003
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