A074746 Number of distinct differences between consecutive anti-divisors of n (ordered by size).

0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 3, 2, 1, 1, 3, 3, 2, 1, 2, 3, 4, 1, 4, 2, 4, 3, 2, 1, 4, 3, 4, 2, 4, 1, 3, 4, 3, 3, 3, 4, 3, 2, 5, 4, 4, 2, 5, 5, 2, 5, 5, 2, 4, 2, 4, 4, 4, 5, 3, 3, 6, 1, 4, 4, 6, 6, 2, 4, 4, 5, 5, 4, 2, 4, 7, 4, 2, 4, 5, 5, 6, 3, 5, 4, 5, 4, 2, 3, 4

Offset

1,7

Comments

See A066272 for definition of anti-divisor.

Links

Table of n, a(n) for n=1..91.

Example

For n=17, anti-divisors={2,3,5,7,11}; differences={1,2,2,4}; a(17) = number of distinct differences = 3.

Maple

read("transforms");
A074746 := proc(n)
        local advs ;
        advs := sort(convert(antidivisors(n), list)) ;
        nops(convert(DIFF(advs), set)) ;
end proc: # R. J. Mathar, Oct 01 2011

Crossrefs

Cf. A066272.

Sequence in context: A211261 A344174 A336431 * A133188 A261036 A008612

Adjacent sequences: A074743 A074744 A074745 * A074747 A074748 A074749

Keyword

easy,nonn

Author

Jason Earls, Sep 06 2002

Status

approved