OFFSET
0,2
COMMENTS
A sorted version of A287142.
EXAMPLE
The divisors of 72 are {1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72}, with pairs of successive divisors {{1, 2}, {2, 3}, {3, 4}, {8, 9}}, and no smaller number has 4 successive pairs, so 72 belongs to the sequence.
MATHEMATICA
dat=Table[Count[Differences[Divisors[n]], 1], {n, 10000}];
Sort[Table[Position[dat, i][[1, 1]], {i, Union[dat]}]]
CROSSREFS
Sorted positions of first appearances in A129308.
The longest run of divisors of n has length A055874(n).
Numbers whose divisors > 1 have no non-singleton runs are A088725.
The Heinz number of the multiset of run-lengths of divisors of n is A328166(n).
The smallest number whose divisors have a longest run of length n is A328449(n).
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 15 2019
STATUS
approved