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

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

1,1

Comments

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

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Formula

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

Prog

(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

Crossrefs

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

Sequence in context: A151741 A090064 A082804 * A144777 A296130 A284811

Adjacent sequences: A262274 A262275 A262276 * A262278 A262279 A262280

Keyword

nonn,base

Author

Reinhard Zumkeller, Sep 17 2015

Status

approved