A353037 Positions of records in A119435.

1, 2, 3, 5, 7, 9, 11, 15, 17, 19, 23, 27, 31, 33, 35, 39, 47, 55, 63, 65, 67, 71, 79, 87, 95, 111, 119, 127, 129, 131, 135, 143, 159, 175, 191, 207, 223, 239, 255, 257, 259, 263, 271, 287, 303, 319, 351, 367, 383, 415, 431, 447, 479, 495, 511, 513, 515, 519, 527

Offset

1,2

Comments

Let S = A119435. S(2^k +- 1) with k > 0 are records in S and thus (2^k - 1) and (2^k + 1) appear in this sequence.

S(2^k - 1) = 2^(k+1) - 3 and S(2^k + 1) = 2^(k+1) + 1, while S(2^k) is a local minimum.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..1360

Michael De Vlieger, Bitmap of a(n), n = 1..967, vertical exaggeration 12X.

Michael De Vlieger, Binary expansion of a(n), n = 1..967.

Mathematica

a = {1}; nn = 527; r = 0; Do[AppendTo[a, Complement[Range[i + 2 nn], a][[IntegerReverse[i, 2]] ]], {i, 2, nn}]; Reap[Do[If[# > r, r = #; Sow[i]] &@ a[[i]], {i, Length[a]}]][[-1, -1]] ]

Crossrefs

Cf. A030101, A119435, A353035, A353036.

Sequence in context: A375985 A228121 A323648 * A238526 A281541 A066824

Adjacent sequences: A353034 A353035 A353036 * A353038 A353039 A353040

Keyword

nonn,base

Author

Michael De Vlieger, Apr 18 2022

Status

approved