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

%I M4397 N1853

%S 1,7,31,37,109,121,127,133,151,157,403,421,511,529,631,637,661,679,

%T 1579,1621,1633,1969,1981,2017,2041,2047,2053,2071,2077,2143,2149,

%U 2167,2173,2401,2527,2557,2677,6493,6559,6643,6661,6703,6733,6871

%N Numbers n such that (1,n) is "good".

%C 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.

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

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

%H N. G. de Bruijn, <a href="http://dx.doi.org/10.1090/S0025-5718-1964-0167447-9">Some direct decompositions of the set of integers</a>, Math. Comp., 18 (1964), 537-546.

%Y Cf. A000695.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Feb 27 2011

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Last modified May 14 22:40 EDT 2021. Contains 343909 sequences. (Running on oeis4.)