A344342 Numbers k such that k and k + 1 are both Gray-code Niven numbers (A344341).

1, 2, 3, 6, 7, 8, 14, 15, 27, 30, 31, 32, 39, 44, 51, 56, 62, 63, 75, 99, 104, 111, 123, 126, 127, 128, 135, 144, 155, 159, 174, 175, 184, 185, 195, 204, 207, 215, 224, 231, 234, 235, 243, 244, 248, 254, 255, 264, 275, 284, 294, 300, 304, 305, 315, 335, 354, 375

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

1 is a term since 1 and 2 are both Gray-code Niven numbers.

Mathematica

gcNivenQ[n_] := Divisible[n, DigitCount[BitXor[n, Floor[n/2]], 2, 1]]; Select[Range[400], And @@ gcNivenQ[# + {0, 1}] &]

Crossrefs

Cf. A005811, A014550.

Subsequence of: A344341.

Subsequences: A344343 and A344344.

Similar sequences: A330927 (decimal), A328205 (factorial), A328209 (Zeckendorf), A328213 (lazy Fibonacci), A330931 (binary), A331086 (negaFibonacci), A333427 (primorial), A334309 (base phi), A331820 (negabinary), A342427 (base 3/2).

Sequence in context: A189013 A242940 A127330 * A035346 A030164 A066646

Adjacent sequences: A344339 A344340 A344341 * A344343 A344344 A344345

Keyword

nonn,base

Author

Amiram Eldar, May 15 2021

Status

approved