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A328457 Length of the longest run of divisors > 1 of n. 5
0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..87.

MATHEMATICA

Table[If[n==1, 0, Max@@Length/@Split[Rest[Divisors[n]], #2==#1+1&]], {n, 100}]

CROSSREFS

Records occur at A328448.

Positions of 0's and 1's are A088725.

The version that looks at all divisors (including 1) is A055874.

The number of successive pairs of divisors > 1 of n is A088722(n).

The Heinz number of the multiset of run-lengths of divisors of n is A328166(n).

The longest run of nontrivial divisors of n is A328458(n).

Cf. A000005, A027750, A129308, A181063, A199970, A328162, A328195, A328449.

Sequence in context: A069283 A319430 A285337 * A033630 A308608 A323719

Adjacent sequences:  A328454 A328455 A328456 * A328458 A328459 A328460

KEYWORD

nonn

AUTHOR

Gus Wiseman, Oct 16 2019

STATUS

approved

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Last modified February 23 16:26 EST 2020. Contains 332177 sequences. (Running on oeis4.)