A048892 - OEIS

%I #24 Aug 07 2023 11:33:21

%S 1,1,4,9,45,76,270,2204,3718,95499,590890,16023339,16475964,

%T 1745175039,31287652672,347321438520,2620400333120,239919791836864

%N Start of n consecutive integers with distinct number of divisors.

%H Carlos Rivera, <a href="https://www.primepuzzles.net/problems/prob_020.htm">Problem 20. Divisors (II) K consecutive numbers with the same number of divisors</a>, The Prime Puzzles and Problems Connection. See Problem 20c.

%e The 5th number of this sequence, 45, means that 45, 46, 47, 48 and 49 all have distinct number of divisors: 6, 4, 2, 10 and 3, respectively.

%Y Cf. A000005, A006558.

%K nonn,nice,more

%O 1,3

%A _Carlos Rivera_

%E More terms from _Jud McCranie_

%E a(15)-a(16) from _Donovan Johnson_, Feb 17 2010

%E a(17)-a(18) from _Martin Ehrenstein_, Aug 07 2023