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 A051022 Interpolate 0's between each pair of digits of n. 10
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 500, 501, 502, 503, 504, 505 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS These numbers have the same decimal and negadecimal representations. Or fixed points of decimal negadecimal conversion. - Gerald Hillier, Apr 23 2015 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Eric Weisstein's World of Mathematics, Negadecimal FORMULA Sums a_i*100^e_i with 0 <= a_i < 10. a(n) = n if n < 10, otherwise a(floor(n/10))*100 + n mod 10. - Reinhard Zumkeller, Apr 20 2011 [Corrected by Kevin Ryde, Nov 07 2020] a(n) = A338754(n)/11. - Kritsada Moomuang, Oct 20 2019 [Corrected by Kevin Ryde, Nov 07 2020] EXAMPLE a(23) = 203. a(99) = 909. a(100) = 10000. a(101) = 10001. a(111) = 10101. MAPLE M:= 3: # to get a(0) to a(10^M-1) A:= 0: for d from 1 to M do   A:= seq(seq(a*100+b, b=0..9), a=A); od: A; # Robert Israel, Apr 23 2015 MATHEMATICA Table[FromDigits[Riffle[IntegerDigits[n], 0]], {n, 0, 60}] (* Harvey P. Dale, Nov 17 2013 *) ToNegaBases[i_Integer, b_Integer] := FromDigits[ Rest[ Reverse[ Mod[ NestWhileList[(#1 - Mod[ #1, b])/-b &, i, #1 != 0 &], b]]]]; k = 0; lst = {}; While[k < 1001, If[k == ToNegaBases[k, 10], AppendTo[ lst, k]]; k++]; lst (* Robert G. Wilson v, Jun 11 2014 *) PROG (Haskell) a051022 n = if n < 10 then n else a051022 n' * 100 + r             where (n', r) = divMod n 10 -- Reinhard Zumkeller, Apr 20 2011 (HP 49G calculator) « "" + SREV 0 9   FOR i i "" + DUP 0 + SREPL DROP   NEXT SREV OBJ-> ». Gerald Hillier, Apr 23 2015 (PARI) a(n) = fromdigits(digits(n), 100); \\ Kevin Ryde, Nov 07 2020 CROSSREFS Cf. A039723, A063010, A092908 (primes), A092909 (on primes), A338754 (*11). In other bases: A000695, A037314, A276089. Sequence in context: A001633 A171120 A092907 * A218556 A043314 A088472 Adjacent sequences:  A051019 A051020 A051021 * A051023 A051024 A051025 KEYWORD nonn,easy,base AUTHOR Eric W. Weisstein, Dec 11 1999 EXTENSIONS More terms and more precise definition from Jorge Coveiro, Apr 15 2004 and David Wasserman, Feb 26 2008 Edited by N. J. A. Sloane, Sep 14 2008 at the suggestion of R. J. Mathar Offset fixed by Reinhard Zumkeller, Apr 20 2012 STATUS approved

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Last modified May 17 12:55 EDT 2021. Contains 343971 sequences. (Running on oeis4.)