A331825 Positive numbers k such that -k, -(k + 1), -(k + 2), and -(k + 3) are 4 consecutive negative negabinary-Niven numbers (A331728).

413, 2093, 3773, 4613, 7133, 7973, 8813, 10493, 11869, 15829, 16373, 23749, 30653, 31493, 34853, 35629, 37373, 39589, 40733, 49133, 51469, 54585, 55429, 63349, 64253, 65513, 67613, 70965, 75229, 91069, 98989, 102949, 103725, 106909, 110869, 114653, 129773, 131033

Offset: 1

Author

Amiram Eldar, Jan 27 2020

Keywords

• nonn
• base

Links

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

Crossrefs

Cf. A027615, A039724, A141769, A328211, A328215, A330933, A331728, A331824.

Programs

Mathematica

negaBinWt[n_] := negaBinWt[n] = If[n == 0, 0, negaBinWt[Quotient[n - 1, -2]] + Mod[n, 2]]; negaBinNivenQ[n_] := Divisible[n, negaBinWt[-n]]; nConsec = 4; neg = negaBinNivenQ /@ Range[nConsec]; seq = {}; c = 0; k = nConsec+1; While[c < 45, If[And @@ neg, c++; AppendTo[seq, k - nConsec]]; neg = Join[Rest[neg], {negaBinNivenQ[k]}]; k++]; seq