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If any power of 2 ends with k 2's and 9's, they must be the first k terms of this sequence in reverse order.

3

`%I #17 Jan 27 2022 22:44:52
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`%S 2,9,9,2,9,2,2,2,2,2,2,9,9,2,9,9,9,9,2,2,9,2,9,2,9,2,2,9,2,2,9,2,2,9,
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`%T 9,9,9,9,2,2,2,2,2,2,9,2,2,9,9,2,9,9,9,9,9,2,9,2,9,2,2,9,9,9,2,2,9,9,
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`%U 9,2,9,2,2,2,2,9,9,9,9,9,9,9,9,2,9,2,9,2,2,2,9,9,2,2,2,9,9,2,9,9,2,9,9,9,2,2,9,9
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`%N If any power of 2 ends with k 2's and 9's, they must be the first k terms of this sequence in reverse order.
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`%H Ray Chandler, <a href="/A023400/b023400.txt">Table of n, a(n) for n = 1..10000</a>
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`%K nonn,base
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`%O 1,1
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`%A _David W. Wilson_
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