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Search: id:A124402
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| A124402 |
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Numbers n such that mod(3^n,2^n) is less than mod(3^(n-1),2^(n-1)). |
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+0 1
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| 4, 7, 17, 20, 24, 27, 29, 40, 45, 48, 49, 53, 55, 57, 61, 62, 65, 67, 72, 76, 79, 82, 83, 85, 88, 91, 95, 100, 101, 106, 107, 109, 112, 119, 124, 136, 139, 142, 149, 151, 153, 158, 159, 164, 165, 167, 171, 178, 186, 189, 193, 197, 198, 202, 204, 209, 210, 215, 219
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also positions where A002380(n) < A002380(n-1).
The first occurrence of k in the first forward difference: 48, 27, 4, 20, 40, 358, 112, 178, 222, 7, ...,.
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EXAMPLE
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1 == 3^4 (mod 2^4) which is less than 3 == 3^3 (mod 2^3) so 4 is a member.
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MATHEMATICA
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pm = 0; lst = {}; Do[pn = PowerMod[3, n, 2^n]; If[pn < pm, AppendTo[lst, n]]; pm = pn, {n, 221}]; lst
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CROSSREFS
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Cf. A002380.
Sequence in context: A132334 A097661 A013625 this_sequence A034736 A023860 A009881
Adjacent sequences: A124399 A124400 A124401 this_sequence A124403 A124404 A124405
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 14 2006
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