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A125887 a(1) = 1, a(n) = smallest positive number b not among a(1)..a(n-1) and not a multiple of 10 such that the first digit of b = the last digit of a(n-1). 2

%I #8 Jan 27 2014 16:22:23

%S 1,11,12,21,13,31,14,41,15,51,16,61,17,71,18,81,19,91,101,102,22,23,

%T 32,24,42,25,52,26,62,27,72,28,82,29,92,201,103,33,34,43,35,53,36,63,

%U 37,73,38,83,39,93,301,104,44,45,54,46,64,47,74,48,84,49,94,401,105,55,56,65

%N a(1) = 1, a(n) = smallest positive number b not among a(1)..a(n-1) and not a multiple of 10 such that the first digit of b = the last digit of a(n-1).

%C A dyslexic person might have trouble distinguishing this sequence from A125886!

%H Reinhard Zumkeller, <a href="/A125887/b125887.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a125887 n = a125887_list !! (n-1)

%o a125887_list = 1 : f '1' (filter ((> 0) . (`mod` 10)) [11..]) where

%o f d zs = y : f (last $ show y) (xs ++ ys) where

%o (xs, y:ys) = span ((/= d) . head . show) zs

%o -- _Reinhard Zumkeller_, Jul 06 2011

%Y Cf. A125886.

%Y Cf. A000030, A010879.

%K base,nonn,look

%O 1,2

%A _Zak Seidov_, Dec 13 2006

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)