cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A262277 Numbers having in decimal representation the same distinct decimal digits as their 9's complement.

Original entry on oeis.org

18, 27, 36, 45, 54, 63, 72, 81, 90, 118, 181, 188, 227, 272, 277, 336, 363, 366, 445, 454, 455, 544, 545, 554, 633, 636, 663, 722, 727, 772, 811, 818, 881, 900, 909, 990, 1089, 1098, 1118, 1181, 1188, 1278, 1287, 1368, 1386, 1458, 1485, 1548, 1584, 1638
Offset: 1

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Author

Reinhard Zumkeller, Sep 17 2015

Keywords

Comments

If d is a digit of any term then also 9 - d;

Crossrefs

Cf. A061601, A227362, subsequences: A111708, A050278, A171102.

Programs

  • Haskell
    import Data.List (nub, sort)
    a262277 n = a262277_list !! (n-1)
    a262277_list = filter f [1..] where
       f x = sort ds' == sort (map (9 -) ds') where
         ds' = nub $ ds x
         ds 0 = []; ds z = d : ds z' where (z', d) = divMod z 10
    
  • PARI
    isok(m) = my(d=digits(m), c=apply(x->9-x, d)); Set(d) == Set(c); \\ Michel Marcus, Jan 22 2022

Formula

A227362(A061601(a(n))) = A227362(a(n)).
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