A095096 Fibevil numbers: those numbers k for which the parity of 1-fibits in Zeckendorf expansion A014417(k) is even, i.e., for which A095076(k) = 0.

0, 4, 6, 7, 9, 10, 11, 14, 15, 16, 18, 22, 23, 24, 26, 29, 33, 35, 36, 37, 39, 42, 46, 47, 51, 53, 54, 56, 57, 58, 60, 63, 67, 68, 72, 74, 75, 76, 80, 82, 83, 85, 86, 87, 90, 91, 92, 94, 97, 101, 102, 106, 108, 109, 110, 114, 116, 117, 119, 120, 121, 123, 127, 129

Offset: 1

Author

Antti Karttunen, Jun 01 2004

Keywords

• nonn

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..10002

Crossrefs

Characteristic function: A095111.

Complement of A020899.

Cf. A001969 (evil numbers), A014417, A095076, A095084 (fibevil primes).

Programs

Maple

A095096 := proc(n)
    option remember;
    local a;
    if n =1 then
        0;
    else
        for a from procname(n-1)+1 do
            if A095076(a) = 0 then
                return a;
            end if;
        end do:
    end if;
end proc:
seq(A095096(n),n=1..60) ; # R. J. Mathar, Sep 22 2020

Mathematica

Flatten @ Position[Mod[DigitCount[Select[Range[0, 1000], BitAnd[#, 2 #] == 0 &], 2, 1], 2], 0] - 1  (* Amiram Eldar, Feb 05 2023 *)

Extensions

Changed offset to 1. - N. J. A. Sloane, Sep 12 2020