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A100332 a(n) is the smallest positive integer for which the fractional part of exp(a(n)) begins with n. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
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...;
MAPLE
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:
seq(V[i], i=1..999); # Robert Israel, Dec 14 2015
CROSSREFS
Cf. A100322 for analogous sequence for Pi.
Sequence in context: A246627 A257135 A357046 * A083124 A132991 A031167
KEYWORD
base,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 17 2004
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)