[seqfan] Numbers-Of-Divisors Increasing/Decreasing

Leroy Quet q1qq2qqq3qqqq at yahoo.com
Fri Feb 26 21:19:01 CET 2010

Has it been proved if sequences A075028 and A075029 are infinite?

In other words, is there always, for all n, a positive integer k such that (d(k), d(k+1), d(k+2),... d(k+n-1)) is either strictly increasing or strictly decreasing? (d(n) is the number of divisors of n, of course.)

Leroy Quet

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