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Search: id:A074154
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| A074154 |
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Largest n-digit power of n; or 0 if no such number exists. |
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+0
1
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| 1, 64, 729, 4096, 78125, 279936, 5764801, 16777216, 387420489, 1000000000, 25937424601, 743008370688, 1792160394037, 56693912375296, 129746337890625, 4503599627370496, 0, 374813367582081024, 0, 32768000000000000000, 0
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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From a(6) onwards the sequence is A074153.
Where a(n)=0 for n: 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 40, ..., . [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2009]
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MATHEMATICA
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f[n_] := Block[{a = n^Ceiling[ Log[n, 10^n] - 1]}, If[ Floor[ Log[10, a] + 1] == n, a, 0]]; f[1] = 1; Array[f, 21] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2009]
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CROSSREFS
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Cf. A074154.
Sequence in context: A055015 A001014 A050753 this_sequence A153160 A113851 A046455
Adjacent sequences: A074151 A074152 A074153 this_sequence A074155 A074156 A074157
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 29 2002
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EXTENSIONS
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Corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2009
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