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A201881 Run lengths in maximally unpredictable sequences A007061, A038219. 4

%I #9 Jul 13 2013 12:04:19

%S 1,1,2,2,1,1,1,3,3,1,4,4,1,2,2,1,1,1,2,1,2,3,1,1,3,2,5,1,1,2,1,5,2,2,

%T 2,6,1,1,1,1,1,2,3,3,2,1,3,1,1,1,1,1,6,2,1,2,1,1,2,2,3,1,1,4,4,1,2,1,

%U 1,2,2,2,1,3,1,4,1,1,2,1,1,1,1,7,3,2

%N Run lengths in maximally unpredictable sequences A007061, A038219.

%C a(2*n-1) = length of n-th block of consecutive ones in A007061, or consecutive zeros in A038219;

%C a(2*n) = length of n-th block of consecutive twos in A007061, or consecutive ones in A038219;

%C a(A201882(n)) = n and a(m) < n for m < A201882(n).

%H Reinhard Zumkeller, <a href="/A201881/b201881.txt">Table of n, a(n) for n = 1..1000</a>

%e A007061: 1, 2, 1,1, 2,2, 1, 2, 1, 2,2,2, 1,1,1, 2, 1,1,1,1, 2,2,2,2, ..

%e A038219: 0, 1, 0,0, 1,1, 0, 1, 0, 1,1,1, 0,0,0, 1, 0,0,0,0, 1,1,1,1, ..

%e A201881: 1, 1, __2, __2, 1, 1, 1, ____3, ____3, 1, ______4, ______4, ...

%o (Haskell)

%o import Data.List (group)

%o a201881 n = a201881_list !! (n-1)

%o a201881_list = map length $ group a007061_list

%K nonn

%O 1,3

%A _Reinhard Zumkeller_, Dec 11 2011

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Last modified August 29 08:01 EDT 2024. Contains 375510 sequences. (Running on oeis4.)