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Search: id:A086482
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| A086482 |
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Beginning with 1, the smallest number not included earlier such that the n-th partial product is an n-th power; or the geometric mean of the first n terms is an integer. |
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2
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| 1, 4, 2, 32, 128, 8, 1024, 16, 8192, 32768, 64, 262144, 1048576, 256, 8388608, 512, 67108864, 268435456, 2048, 2147483648, 4096, 17179869184, 68719476736, 16384, 549755813888, 2199023255552, 65536, 17592186044416, 131072, 140737488355328
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Every term is a power of 2 and the geometric mean of first n terms is 2 for n >1. Rearrangement of powers of 2.
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FORMULA
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a(n) = 2^A002251(n-1). - David Wasserman (wasserma(AT)spawar.navy.mil), Mar 07 2005
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EXAMPLE
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a(5) =128, Product of first five terms is 1*4*2*32*128 = 2^15= 8^5.
a(5) = 4 also gives 4^5 but 4 is already included.
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CROSSREFS
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Cf. A002251.
Sequence in context: A093991 A030447 A076936 this_sequence A078758 A102015 A123850
Adjacent sequences: A086479 A086480 A086481 this_sequence A086483 A086484 A086485
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 26 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Mar 07 2005
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