%I A051162
%S A051162 0,1,2,2,3,4,3,4,5,6,4,5,6,7,8,5,6,7,8,9,10,6,7,8,9,10,11,12,7,8,9,
%T A051162 10,11,12,13,14,8,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,17,
%U A051162 18,10,11,12,13,14,15,16,17,18,19,20
%N A051162 Triangle T(n,k) = n+k, n >= 0, 0<=k<=n.
%C A051162 Row sums are A045943 = triangular matchstick numbers: 3n(n+1)/2. This 
               was independently noted by myself and, without cross-reference, as 
               a comment on A045943, by Jon Perry (perry(AT)globalnet.co.uk), Jan 
               15 2004. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 09 2007
%C A051162 In partitions of n into distinct parts having maximal size, a(n) is the 
               greatest number, see A000009. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 13 2009]
%e A051162 0; 1,2; 2,3,4; 3,4,5,6; 4,5,6,7,8; ...
%Y A051162 Cf. A025581, A004736.
%Y A051162 Cf. A025581, A004736, A045943.
%Y A051162 Sequence in context: A063712 A106251 A134478 this_sequence A122872 A132919 
               A162619
%Y A051162 Adjacent sequences: A051159 A051160 A051161 this_sequence A051163 A051164 
               A051165
%K A051162 nonn,tabl,easy,nice
%O A051162 0,3
%A A051162 N. J. A. Sloane (njas(AT)research.att.com).