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If any even power of 2 ends with k 1's and 4's, they must be the first k terms of this sequence in reverse order.
3

%I #13 Jan 27 2022 22:45:08

%S 4,4,1,4,1,4,1,4,4,1,1,4,4,4,4,1,4,4,1,4,1,1,1,4,1,1,1,4,4,4,1,1,4,1,

%T 1,1,1,1,1,4,4,4,1,1,1,4,4,4,4,4,4,1,4,4,4,4,1,1,4,1,4,4,1,4,1,4,4,4,

%U 1,1,1,4,4,4,4,4,1,1,4,4,1,4,4,1,1,4,1,1,1,1,4,4,4,1,4,4,4,1,1,1,4,1,4,4,4,1,1,4

%N If any even power of 2 ends with k 1's and 4's, they must be the first k terms of this sequence in reverse order.

%H Ray Chandler, <a href="/A023401/b023401.txt">Table of n, a(n) for n = 1..10000</a>

%K nonn,base

%O 1,1

%A _David W. Wilson_