A100332 a(n) is the smallest positive integer for which the fractional part of exp(a(n)) begins with n.

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

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..3908

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

Adjacent sequences: A100329 A100330 A100331 * A100333 A100334 A100335

Keyword

base,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 17 2004

Status

approved