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A043682 a(n) = (1/2)*(n-th number whose base-2 representation has exactly 4 runs). 1

%I #17 Apr 13 2021 23:06:52

%S 5,9,10,11,13,17,18,19,20,22,23,25,26,27,29,33,34,35,36,38,39,40,44,

%T 46,47,49,50,51,52,54,55,57,58,59,61,65,66,67,68,70,71,72,76,78,79,80,

%U 88,92,94,95,97,98,99,100,102,103,104,108,110

%N a(n) = (1/2)*(n-th number whose base-2 representation has exactly 4 runs).

%C Numbers with exactly two runs of 1's in binary. - _Franklin T. Adams-Watters_, Dec 09 2013

%t Select[Range[250],Length[Split[IntegerDigits[#,2]]]==4&]/2 (* _Harvey P. Dale_, Aug 25 2016 *)

%o (PARI) runs(n)=my(s);while(n, n>>=valuation(if(n%2,n+1,n),2);s++); s

%o is(n)=runs(n>>valuation(n,2))==3 \\ _Charles R Greathouse IV_, Dec 09 2013

%Y Cf. A023758, A043683, A043684, A043685, A043686.

%K nonn,base

%O 1,1

%A _Clark Kimberling_

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Last modified April 23 14:32 EDT 2024. Contains 371914 sequences. (Running on oeis4.)