Numbers of the third kind

[David Wilson]

On a related note:

%N A000000 n is the sum of at most a(n) consecutive positive integers.
%S A000000 
1,1,2,1,2,3,2,1,3,4,2,3,2,4,5,1,2,4,2,5,6,4,2,3,5,4,6,7,2,5,2,1,6,4,7,8,
%T A000000 
2,4,6,5,2,7,2,8,9,4,2,3,7,5,6,8,2,9,10,7,6,4,2,8,2,4,9,1,10,11,2,8,6,7,2,
%U A000000 
9,2,4,10,8,11,12,2,5,9,4,2,8,10,4,6,11,2,12,13,8,6,4,10,3,2,7,11,8,2,12
%O A000000 0,3


----- Original Message ----- 
From: "Jaap Spies" <j.spies at hccnet.nl>
To: "seqfan" <seqfan at ext.jussieu.fr>
Sent: Monday, August 15, 2005 5:29 PM
Subject: Re: Numbers of the third kind


> Jaap Spies wrote:
> [...]
>> So we have only three kinds of natural numbers: the odd primes, the
>> powers of 2 and numbers that can be represented as sum of at least
>> three integers.
>
> correction: numbers that can be represented as sum of at least three 
> consecutive integers.
>
> Jaap Spies