|
|
A175394
|
|
Least nontrivial exponent e > 2 such that n^2 is a substring of n^e (n >= 0).
|
|
1
|
|
|
3, 3, 6, 6, 7, 3, 7, 6, 22, 11, 3, 13, 26, 54, 123, 27, 27, 40, 100, 43, 6, 43, 54, 42, 12, 3, 37, 43, 9, 37, 6, 19, 102, 102, 43, 96, 83, 45, 67, 34, 12, 128, 168, 102, 182, 44, 152, 104, 184, 52, 3, 17, 35, 75, 164, 67, 127, 22, 134, 98, 7, 124, 117, 146, 77, 146, 156, 87
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
EXAMPLE
|
a(2)=6 because 2^2=4 is a substring of 2^6=64
a(4)=7 because 4^2=16 is a substring of 4^7=16384.
|
|
MAPLE
|
f:= proc(n) local pat, e;
pat:= sprintf("%d", n^2);
for e from 3 do if StringTools:-Search(pat, sprintf("%d", n^e))<> 0 then return e fi od:
end proc:
|
|
MATHEMATICA
|
lne[n_]:=Module[{e=3, idn2=IntegerDigits[n^2]}, While[!MemberQ[ Partition[ IntegerDigits[n^e], Length[ idn2], 1], idn2], e++]; e]; Array[lne, 70, 0] (* Harvey P. Dale, Aug 17 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|