A331820 Positive numbers k such that k and k + 1 are both negabinary-Niven numbers (A331728).

1, 2, 3, 8, 14, 15, 20, 32, 35, 56, 62, 63, 68, 80, 90, 95, 124, 125, 128, 174, 184, 185, 215, 224, 244, 245, 248, 254, 255, 260, 272, 275, 300, 304, 305, 320, 335, 342, 468, 469, 484, 485, 512, 515, 544, 545, 552, 575, 594, 636, 720, 762, 784, 785, 804, 846, 896

Offset

1,2

Links

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

Example

8 is a term since both 8 and 8 + 1 = 9 are negabinary-Niven numbers: A039724(8) = 11000 and 1 + 1 + 0 + 0 + 0 = 2 is a divisor of 8, and A039724(9) = 11001 and 1 + 1 + 0 + 0 + 1 = 3 is a divisor of 9.

Mathematica

negaBinWt[n_] := negaBinWt[n] = If[n == 0, 0, negaBinWt[Quotient[n - 1, -2]] + Mod[n, 2]]; negaBinNivenQ[n_] := Divisible[n, negaBinWt[n]]; c = 0; k = 1; s = {}; v = Table[-1, {2}]; While[c < 60, If[negaBinNivenQ[k], v = Join[Rest[v], {k}]; If[AllTrue[Differences[v], # == 1 &], c++; AppendTo[s, k - 1]]]; k++]; s

Crossrefs

Cf. A027615, A039724, A328209, A328213, A330927, A330931, A331086, A331089, A331728.

Sequence in context: A145929 A153865 A369774 * A368855 A022951 A247124

Adjacent sequences: A331817 A331818 A331819 * A331821 A331822 A331823

Keyword

nonn,base

Author

Amiram Eldar, Jan 27 2020

Status

approved