A183529 - OEIS

%I #14 May 02 2017 15:33:48

%S 1,2,3,4,5,6,21,36,37,38,39,40,41,51,61,66,284,285,289,290,297,298,

%T 299,310,312,559,561,562,570,571,574,575,834,836,837,838,839,840,841,

%U 849,850,1109,1124,1125,1126,1127,1386,1401,1402,1661,1676,1677,1936,1951

%N An Ulam-type sequence: a(n) = n if n<=6; for n>6, a(n) = least number > a(n-1) which is a unique sum of 6 distinct earlier terms.

%C An Ulam-type sequence - see A002858 for further information.

%H Alois P. Heinz, <a href="/A183529/b183529.txt">Table of n, a(n) for n = 1..700</a>

%H <a href="/index/U#Ulam_num">Index entries for Ulam numbers</a>

%e a(7) = 21 = 1 + ... + 6 = 6*7/2, because it is the least number >6 with a unique sum of 6 distinct earlier terms.

%e a(8) = 36 = 1 + ... + 5 + 21 = 6^2, because it is the least number >21 with a unique sum of 6 distinct earlier terms.

%p # see A183534 for programs.

%Y Column k=6 of A183534.

%Y Cf. A002858, A007086, A183527-A183533, A135737.

%K nonn

%O 1,2

%A _Jonathan Vos Post_ and _Alois P. Heinz_, Jan 05 2011