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A082887
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a(n)=gcd[mod[n!,2^n],mod[(n+1)!,2^(n+1)]].
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0
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1, 2, 2, 8, 8, 16, 16, 128, 384, 256, 256, 3072, 1024, 2048, 2048, 32768, 98304, 65536, 65536, 262144, 262144, 524288, 524288, 4194304, 4194304, 8388608, 8388608, 33554432, 33554432, 67108864, 67108864, 2147483648, 6442450944, 4294967296
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| n=12:mod[12!,4096,]=mod[13!,8192]=3072, gcd[3072,3072]=3072=a(12).
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MATHEMATICA
| Table[GCD[Mod[w!, 2^w], Mod[(w+1)!, 2^(w+1)]], {w, 1, 50}]
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CROSSREFS
| Sequence in context: A058524 A072576 A060818 * A137583 A099328 A073090
Adjacent sequences: A082884 A082885 A082886 * A082888 A082889 A082890
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KEYWORD
| easy,nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 22 2003
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