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A000696
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Numbers n such that (1,n) is "good".
(Formerly M4397 N1853)
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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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.
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REFERENCES
| N. G. de Bruijn, Some direct decompositions of the set of integers, Math. Comp., 18 (1964), 537-546.
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).
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CROSSREFS
| Cf. A000695.
Sequence in context: A103630 A205711 A040064 * A171733 A128028 A000921
Adjacent sequences: A000693 A000694 A000695 * A000697 A000698 A000699
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KEYWORD
| nonn,base
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Feb 27 2011
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