Numbers k > 1 for which floor(b(k)) = floor(b(k-1)), where b(m) = Sum_{j=1..m} (j/(j+2)).

Terms

a(0) =2a(1) =5a(2) =9a(3) =17a(4) =29a(5) =49a(6) =81a(7) =135a(8) =225a(9) =371a(10) =614a(11) =1013a(12) =1672a(13) =2757a(14) =4548a(15) =7499a(16) =12365a(17) =20388a(18) =33615a(19) =55423a(20) =91378a(21) =150659a(22) =248395a(23) =409536a(24) =675212a(25) =1113237a(26) =1835419a(27) =3026095a(28) =4989189a(29) =8225783