login
Numbers that are the sum of at least three distinct nonnegative integers in arithmetic progression.
1

%I #28 Aug 20 2024 09:08:27

%S 3,6,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,

%T 39,40,42,44,45,46,48,49,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,

%U 69,70,72,74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100

%N Numbers that are the sum of at least three distinct nonnegative integers in arithmetic progression.

%C According to the theorem in the December 1996 issue of Le Petit Vert, these numbers consist of 3, 6 and the composite numbers greater than 8. - _Peter Munn_, Aug 20 2024

%H Ray Chandler, <a href="/A176423/b176423.txt">Table of n, a(n) for n = 1..10000</a>

%H Le Petit Vert, <a href="https://partage.apmeplorraine.fr/petitVert/PV47.pdf">Problem 47</a>, p.20, September 1996. (in French)

%H Le Petit Vert, <a href="https://partage.apmeplorraine.fr/petitVert/PV48.pdf">Solution of problem 47</a>, pp. 21-22, December 1996. (in French)

%Y Cf. A002808.

%K nonn,easy

%O 1,1

%A _Christian Amet_, Apr 17 2010

%E Extended by _Ray Chandler_, Mar 23 2016