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A076936
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a(1) = 1; then the smallest number different from its neighbor such that the n-th partial product is an n-th power.
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2
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1, 4, 2, 32, 4, 256, 8, 2048, 16, 16384, 32, 131072, 64, 1048576, 128, 8388608, 256, 67108864, 512, 536870912, 1024, 4294967296, 2048, 34359738368, 4096, 274877906944, 8192, 2199023255552, 16384, 17592186044416, 32768
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Or the geometric mean of the n-th partial product is an integer. (To avoid the trivial sequence which would have been 1,4,2,2,2,2,2,...).
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CROSSREFS
| Cf. A014682, A076938, A016116.
Sequence in context: A121667 A093991 A030447 * A086482 A078758 A102015
Adjacent sequences: A076933 A076934 A076935 * A076937 A076938 A076939
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 19 2002
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EXTENSIONS
| More terms from Sam Alexander (amnalexander(AT)yahoo.com), Nov 15 2003
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