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In base 10, if any power of 2 ends with k 2's and 3's, they must be the first k elements terms of this sequence in reverse order.
No power of 2 is == 22 (mod 100, ), since 4 does not divide 22, so the next term is 3 (and 4 does divide 32).
No power of 2 is == 332 (mod 1000, ), since 8 does not divide 332, so the next term is 2 (and 8 does divide 232). And so on.
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Ray Chandler, <a href="/A023397/b023397.txt">Table of n, a(n) for n = 1..10000</a>
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0,1,1
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No power of 2 is == 22 mod 100, since 4 does not divide 22, so the next term is 3 (and 4 does divide 32).
No power of 2 is == 332 mod 1000, since 8 does not divide 332, so the next term is 2 (and 8 does divide 232). And so on.
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