A322015 If A003188(n+1) < A003188(n), then a(n) = n+1, otherwise a(n) = 0.

0, 0, 3, 0, 0, 6, 7, 0, 0, 0, 11, 12, 0, 14, 15, 0, 0, 0, 19, 0, 0, 22, 23, 24, 0, 0, 27, 28, 0, 30, 31, 0, 0, 0, 35, 0, 0, 38, 39, 0, 0, 0, 43, 44, 0, 46, 47, 48, 0, 0, 51, 0, 0, 54, 55, 56, 0, 0, 59, 60, 0, 62, 63, 0, 0, 0, 67, 0, 0, 70, 71, 0, 0, 0, 75, 76, 0, 78, 79, 0, 0, 0, 83, 0, 0, 86, 87, 88, 0, 0, 91, 92, 0, 94, 95, 96

Offset: 0

Author

Antti Karttunen, Nov 24 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16383
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A003188, A322016, A322017.

Cf. also A091067, A255068.

Programs

Mathematica

With[{nn = 96}, ReplacePart[ConstantArray[0, nn], Map[# -> # &, 1 + Position[Partition[Array[BitXor[#, Floor[#/2]] &, nn], 2, 1], ?(First@ # > Last@ # &), {1}, Heads -> False][[All, 1]] ]]] (* _Michael De Vlieger, Nov 25 2018 *)

PARI

A003188(n) = bitxor(n, n>>1);
A322015(n) = if(A003188(1+n)<A003188(n),1+n,0);