A022943 a(n) = a(n-2) + c(n-1) for n >= 3, a( ) increasing, given a(1)=2, a(2)=3, where c( ) is complement of a( ).

2, 3, 6, 8, 13, 17, 23, 28, 35, 42, 50, 58, 68, 77, 88, 98, 110, 122, 135, 148, 162, 177, 192, 208, 224, 241, 258, 277, 295, 315, 334, 355, 375, 398, 419, 443, 465, 490, 513, 539, 564, 591, 617, 645, 672, 701, 729, 760, 789, 821, 851, 884, 915