a(n)^2 + 1 is largest prime of the form x^2 + 1 <= 2^n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =6a(6) =10a(7) =14a(8) =20a(9) =26a(10) =40a(11) =56a(12) =90a(13) =126a(14) =180a(15) =250a(16) =350a(17) =496a(18) =716a(19) =1010a(20) =1440a(21) =2034a(22) =2896a(23) =4086a(24) =5774a(25) =8184a(26) =11566a(27) =16380a(28) =23166a(29) =32766