%I A073158
%S A073158 1,2,4,7,5,8,10,14,15,19,16,20,21,22,26,28,27,30,32,33,37,38,40,39,44,
%T A073158 45,47,46,49,50,51,52,56,58,60,61,59,64,66,68,72,67,74,73
%N A073158 a() = 1,2,4,7,... [ A073158 ], adjacent sums = 3,6,11... [ A073159 ] 
               and 2nd adjacent sums = 9,17,... [ A073160 ] are disjoint but not 
               monotonic; adjoin next free number to A073158 to construct three 
               sequences that together include all positive integers.
%C A073158 a(n)/n is asymptotic to 7n/4.
%F A073158 A073158:_1, 2, 4, 7, 5, 8, 10, 14, 15, 19, 16, 20, 21, 22, 26, 28, 27, 
               ... A073159:__3, 6, 11, 12, 13, 18, 24, 29, 34, 35, 36, 41, 43, 48, 
               54, 55, ... A073160:___9, 17, 23, 25, 31, 42, 53, 63, 69, 71, 77, 
               84, 91, 102, 109, ...
%Y A073158 Cf. A037257, A035311, A073159, A073160.
%Y A073158 Sequence in context: A021408 A011178 A136790 this_sequence A035311 A129980 
               A126786
%Y A073158 Adjacent sequences: A073155 A073156 A073157 this_sequence A073159 A073160 
               A073161
%K A073158 easy,nonn
%O A073158 1,2
%A A073158 Paul D. Hanna (pauldhanna(AT)juno.com), Jul 29 2002