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A273382
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Numbers x = concat(a,b) such that a^b begins with the digits of x.
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3
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..10.
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EXAMPLE
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7525 is a member because 75^25 is equal to 752543...6875, i.e., its first digits are 7525.
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MATHEMATICA
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beg[x_, y_, n_] := x > 0 && Log10[x]*y >= Log10[n] && Block[{u = FractionalPart@ Log10[n+1]}, FractionalPart@ Log10[n] <= FractionalPart[ Log10[x]*y] < If[u == 0, 1, u]]; ok[n_] := Block[{p=1}, While[(p *= 10) < n && ! beg[Floor[n/p], Mod[n, p], n]]; p < n]; Select[Range[10^6], ok]
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CROSSREFS
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Cf. A266817, A266818, A273383.
Sequence in context: A258604 A093225 A090742 * A186938 A185749 A077096
Adjacent sequences: A273379 A273380 A273381 * A273383 A273384 A273385
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KEYWORD
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nonn,base,more
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AUTHOR
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Giovanni Resta, Jun 06 2016
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STATUS
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approved
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