A000696 Numbers k such that (1,k) is "good". (Formerly M4397 N1853)

1, 7, 31, 37, 109, 121, 127, 133, 151, 157, 403, 421, 511, 529, 631, 637, 661, 679, 1579, 1621, 1633, 1969, 1981, 2017, 2041, 2047, 2053, 2071, 2077, 2143, 2149, 2167, 2173, 2401, 2527, 2557, 2677, 6493, 6559, 6643, 6661, 6703, 6733, 6871

Offset

1,2

Comments

Let S be the set of nonnegative integers whose base-4 representation does not contain the digits 2 or 3. A pair (M,N) of nonnegative integers is called "good" if every nonnegative integer can be represented uniquely in the form M*s_1 - N*s_2 where s_1 and s_2 are in S.

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..44.

N. G. de Bruijn, Some direct decompositions of the set of integers, Math. Comp., 18 (1964), 537-546.

Crossrefs

Cf. A000695.

Sequence in context: A325423 A309381 A276741 * A171733 A128028 A000921

Adjacent sequences: A000693 A000694 A000695 * A000697 A000698 A000699

Keyword

nonn,base

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Feb 27 2011

Status

approved