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A100332
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a(n) is the smallest positive integer for which the fractional part of exp(a(n)) begins with n.
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2
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11, 14, 2, 5, 4, 7, 1, 24, 8, 363, 61, 140, 18, 11, 56, 281, 204, 81, 391, 624, 154, 36, 173, 23, 98, 63, 181, 14, 139, 37, 60, 82, 153, 519, 54, 315, 15, 2, 13, 20, 5, 6, 67, 297, 50, 10, 28, 21, 118, 115, 172, 16, 487, 272, 55, 93, 258, 249, 4, 99, 87, 282, 7, 73, 134, 242
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(1)=11 because exp(11)=59874.1... and no other 1<= k < 11 gives (exp(k)) whose fractional part starts with 1;
a(2)=14 because exp(14)=1202604.2...;
a(7)=1 because exp(1)=2.7...;
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MAPLE
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V:= Array(0..999):
count:= 0:
for n from 1 while count < 999 do
d:= floor(log10(exp(n)));
Digits:= d+10;
for m from 1 to 3 do
x:= floor(10^m*exp(n)) mod 10^m;
if x >= 10^(m-1) and V[x] = 0 then
count:= count+1;
V[x]:= n
fi
od;
od:
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CROSSREFS
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Cf. A100322 for analogous sequence for Pi.
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KEYWORD
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base,nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 17 2004
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STATUS
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approved
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