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 A039723 Numbers in base -10. 14
 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)
 OFFSET 0,3 REFERENCES D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, 1969, Vol. 2, p. 189. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Prepared and presented by Matthew Szudzik of Wolfram Research, A Mathematica programming contest Eric Weisstein's World of Mathematics, Negadecimal Eric Weisstein's World of Mathematics, Negabinary Wikipedia, Negative base EXAMPLE Decimal 25 is "185" in base -10 because 100 - 80 + 5 = 25. MATHEMATICA ToNegaBases[i_Integer, b_Integer] := FromDigits@ Rest@ Reverse@ Mod[ NestWhileList[(# - Mod[ #, b])/-b &, i, # != 0 &], b] PROG (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) -- Reinhard Zumkeller, Apr 20 2011 (Python) def A039723(n):     s, q = '', n     while q >= 10 or q < 0:         q, r = divmod(q, -10)         if r < 0:             q += 1             r += 10         s += str(r)     return int(str(q)+s[::-1]) # Chai Wah Wu, Apr 10 2016 (PARI) A039723 = base(n, b=-10) = if(n, base(n\b, b)*10 + n%b, 0) \\ M. F. Hasler, Oct 16 2018 [Corrected by Jianing Song, Oct 21 2018] CROSSREFS Nonnegative numbers in negative bases: this sequence (b=-10), A039724 (b=-2), A073785 (b=-3), A007608 (b=-4), A073786 (b=-5), A073787 (b=-6), A073788 (b=-7), A073789 (b=-8), A073790 (b=-9). Cf. A051022. Cf. A305238: negative numbers in base -10. Sequence in context: A254960 A328142 A328279 * A002998 A061276 A249515 Adjacent sequences:  A039720 A039721 A039722 * A039724 A039725 A039726 KEYWORD base,easy,nonn AUTHOR Robert Lozyniak (11(AT)onna.com) STATUS approved

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Last modified April 11 15:49 EDT 2021. Contains 342886 sequences. (Running on oeis4.)