%I A049286
%S A049286 1,1,1,2,1,1,3,2,1,1,5,4,2,1,1,9,7,4,2,1,1,16,12,7,4,2,1,1,28,22,
%T A049286 13,7,4,2,1,1,50,39,24,13,7,4,2,1,1,89,70,42,24,13,7,4,2,1,1,159,
%U A049286 126,76,43,24,13,7,4,2,1,1,285,225,137,78,43,24,13,7,4,2,1,1,510
%N A049286 Triangle of partitions v(d,c) defined in A002572.
%D A049286 Even, Shimon; Lempel, Abraham; Generation and enumeration of all solutions 
               of the characteristic sum condition. Information and Control 21 (1972), 
               476-482.
%D A049286 Minc, H.; A problem in partitions: Enumeration of elements of a given 
               degree in the free commutative entropic cyclic groupoid. Proc. Edinburgh 
               Math. Soc. (2) 11 1958/1959 223-224.
%e A049286 1; 1,1; 2,1,1; 3,2,1,1; 5,4,2,1,1; 9,7,4,2,1,1; ...
%p A049286 v := proc(c,d) option remember; local i; if d < 0 or c < 0 then 0 elif 
               d = c then 1 else add(v(i,d-c),i=1..2*c); fi; end;
%Y A049286 Cf. A002572, A002573, A002574, A049284, A049285. See A047913 for another 
               version.
%Y A049286 Sequence in context: A104762 A152462 A098805 this_sequence A079216 A112380 
               A165162
%Y A049286 Adjacent sequences: A049283 A049284 A049285 this_sequence A049287 A049288 
               A049289
%K A049286 nonn,tabl,nice,easy
%O A049286 1,4
%A A049286 N. J. A. Sloane (njas(AT)research.att.com), Michael Somos