Numerators of continued fraction convergents to sqrt(10)/2 = sqrt(5/2) = A020797 + 1.

Terms

a(0) =1a(1) =2a(2) =3a(3) =8a(4) =11a(5) =19a(6) =49a(7) =68a(8) =117a(9) =302a(10) =419a(11) =721a(12) =1861a(13) =2582a(14) =4443a(15) =11468a(16) =15911a(17) =27379a(18) =70669a(19) =98048a(20) =168717a(21) =435482a(22) =604199a(23) =1039681a(24) =2683561a(25) =3723242a(26) =6406803a(27) =16536848a(28) =22943651a(29) =39480499