a(n) is the smallest number not already used such that Sum_{m = 0 .. n-1} a(m)*a(m+1) is a square.

Terms

a(0) =1a(1) =4a(2) =3a(3) =11a(4) =16a(5) =19a(6) =33a(7) =21a(8) =31a(9) =96a(10) =13a(11) =65a(12) =63a(13) =55a(14) =145a(15) =336a(16) =40a(17) =240a(18) =53a(19) =429a(20) =272a(21) =376a(22) =130a(23) =380a(24) =108a(25) =78a(26) =1368a(27) =49a(28) =235a(29) =288