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A146562 'Erratic' numbers in A064353 [Kolakoski (1,3)].

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%I A146562 #6 Jul 22 2025 06:15:03
%S A146562 3,6,9,15,18,21,25,29,32,35,41,44,47,51,54,57,61,64,67,73,76,79,83,87,
%T A146562 90,93,99,102,105,109,112,115,121,124,127,131,134,137,143,146,149,153,
%U A146562 157,160,163,169,172,175,179,182,185,189,192,195,201,204,207,211
%N A146562 'Erratic' numbers in A064353 [Kolakoski (1,3)].
%C A146562 A064353(n) is generally 1 if n is odd and 3 if n is even. An 'erratic' number breaks this rule.
%H A146562 Reinhard Zumkeller, <a href="/A146562/b146562.txt">Table of n, a(n) for n = 1..10000</a>
%e A146562 A064353(3) is predicted to be 1 but is 3 so 3 is in the list.
%o A146562 (Haskell)
%o A146562 import Data.List (findIndices)
%o A146562 a146562 n = a146562_list !! (n-1)
%o A146562 a146562_list = map (+ 1) $
%o A146562    findIndices (/= 0) $ zipWith (-) a064353_list $ cycle [1, 3]
%o A146562 -- _Reinhard Zumkeller_, Aug 03 2013
%Y A146562 Cf. A064353.
%Y A146562 Cf. A010684.
%K A146562 nonn
%O A146562 1,1
%A A146562 J. Perry (johnandruth(AT)jrperry.orangehome.co.uk), Nov 01 2008