|
|
A375738
|
|
Minimum of the n-th maximal anti-run of adjacent (increasing by more than one at a time) non-perfect-powers.
|
|
4
|
|
|
2, 3, 6, 7, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 29, 30, 31, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Non-perfect-powers (A007916) are numbers with no proper integer roots.
An anti-run of a sequence is an interval of positions at which consecutive terms differ by more than one.
|
|
LINKS
|
|
|
EXAMPLE
|
The initial anti-runs are the following, whose minima are a(n):
(2)
(3,5)
(6)
(7,10)
(11)
(12)
(13)
(14)
(15,17)
(18)
(19)
(20)
(21)
(22)
(23)
(24,26,28)
|
|
MATHEMATICA
|
radQ[n_]:=n>1&&GCD@@Last/@FactorInteger[n]==1;
Min/@Split[Select[Range[100], radQ], #1+1!=#2&]//Most
|
|
CROSSREFS
|
For composite numbers we have A005381, runs A008864 (except first term).
For anti-runs of non-perfect-powers:
For runs of non-perfect-powers:
|
|
KEYWORD
|
nonn,new
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|