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A039723
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Numbers in base -10.
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14
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 150, 151, 152, 153, 154, 155
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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REFERENCES
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D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, 1969, Vol. 2, p. 189.
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LINKS
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EXAMPLE
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Decimal 25 is "185" in base -10 because 100 - 80 + 5 = 25.
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MATHEMATICA
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ToNegaBases[i_Integer, b_Integer] := FromDigits@ Rest@ Reverse@ Mod[ NestWhileList[(# - Mod[ #, b])/-b &, i, # != 0 &], b]
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PROG
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(Haskell)
a039723 0 = 0
a039723 n = a039723 n' * 10 + m where
(n', m) = if r < 0 then (q + 1, r + 10) else qr where
qr@(q, r) = quotRem n (negate 10)
(Python)
s, q = '', n
while q >= 10 or q < 0:
q, r = divmod(q, -10)
if r < 0:
q += 1
r += 10
s += str(r)
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CROSSREFS
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Cf. A305238: negative numbers in base -10.
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KEYWORD
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base,easy,nonn
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AUTHOR
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Robert Lozyniak (11(AT)onna.com)
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STATUS
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approved
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