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A336775
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a(n) is the largest power of n such that all numbers n^k <= a(n), k=1,..,A336774(n)-1 can be exactly represented as single precision 32-bit floating point numbers according to the IEEE 754 standard.
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8
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170141183460469231731687303715884105728, 14348907, 85070591730234615865843651857942052864, 9765625, 470184984576, 5764801, 85070591730234615865843651857942052864, 4782969, 10000000000, 1771561, 15407021574586368, 4826809, 1475789056, 11390625, 21267647932558653966460912964485513216
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OFFSET
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2,1
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LINKS
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FORMULA
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EXAMPLE
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a(3) = 14348907 = 3^15, because the next power 3^16 = 43046721 cannot be exactly represented as a binary32 floating point number, but only rounded to 43046720.
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CROSSREFS
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KEYWORD
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nonn,fini
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AUTHOR
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STATUS
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approved
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