A073787 Numbers in base -6.

0, 1, 2, 3, 4, 5, 150, 151, 152, 153, 154, 155, 140, 141, 142, 143, 144, 145, 130, 131, 132, 133, 134, 135, 120, 121, 122, 123, 124, 125, 110, 111, 112, 113, 114, 115, 100, 101, 102, 103, 104, 105, 250, 251, 252, 253, 254, 255, 240, 241, 242, 243, 244, 245

Offset

0,3

References

D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, 1969, Vol. 2, p. 189.

Links

Chai Wah Wu, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Negabinary

Prepared and presented by Matthew Szudzik of Wolfram Research, A Mathematica programming contest

Mathematica

ToNegaBases[i_Integer, b_Integer] := FromDigits[ Rest[ Reverse[ Mod[ NestWhileList[(#1 - Mod[ #1, b])/-b &, i, #1 != 0 &], b]]]]; Table[ ToNegaBases[n, 6], {n, 0, 60}]

Prog

(Python)
def A073787(n):
    s, q = '', n
    while q >= 6 or q < 0:
        q, r = divmod(q, -6)
        if r < 0:
            q += 1
            r += 6
        s += str(r)
    return int(str(q)+s[::-1]) # Chai Wah Wu, Apr 09 2016

Crossrefs

Cf. A007092, A039724, A073785, A007608, A073786, A073788, A073789, A073790 & A039723.

Sequence in context: A004867 A318842 A298671 * A274028 A037436 A377073

Adjacent sequences: A073784 A073785 A073786 * A073788 A073789 A073790

Keyword

base,easy,nonn

Author

Robert G. Wilson v, Aug 11 2002

Status

approved