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Search: id:A114322
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| A114322 |
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Largest number whose 4th power has n digits. |
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+0
1
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| 1, 3, 5, 9, 17, 31, 56, 99, 177, 316, 562, 999, 1778, 3162, 5623, 9999, 17782, 31622, 56234, 99999, 177827, 316227, 562341, 999999, 1778279, 3162277, 5623413, 9999999, 17782794, 31622776, 56234132, 99999999, 177827941, 316227766
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is to 4th powers as A061439 is to cubes, and A049416 is to squares.
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FORMULA
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a(n) = ceiling((10^n)^(1/4))-1.
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EXAMPLE
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a(10) = 316 because 316^4 = 9971220736 which has 10 digits, while 317^4 = 10098039121 has 11 digits.
a(35) = 562341325 because 562341325^4 = 99999999864602459914272843469140625 has 35 digits, while 562341326^4 = 100000000575914225104884587789852176 has 36.
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CROSSREFS
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Cf. A061439, A049416.
Adjacent sequences: A114319 A114320 A114321 this_sequence A114323 A114324 A114325
Sequence in context: A078140 A102475 A066173 this_sequence A000213 A074858 A074860
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Feb 06 2006
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