A145850 - OEIS

%I #8 Dec 15 2018 22:29:54

%S 1,17,65,81,257,273,321,337,1025,1041,1089,1105,1281,1297,1345,1361,

%T 4097,4113,4161,4177,4353,4369,4417,4433,5121,5137,5185,5201,5377,

%U 5393,5441,5457,16385,16401,16449,16465,16641,16657,16705,16721,17409,17425,17473,17489,17665,17681

%N a(n) = A145818(2n-1).

%C Every positive odd integer m == 3 (mod 16) is a unique sum of the form a(s) + 2a(t), while other odd integers are not expressible in such form.

%F If f(x) = Sum_{n>=1} x^a(n), abs(x) < 1, then f(x)*f(x^2) = x^3/(1-x^16).

%Y Bisection of A145818.

%Y Cf. A145812, A145849.

%K nonn

%O 1,2

%A _Vladimir Shevelev_, Oct 21 2008

%E More terms from _Michel Marcus_, Dec 15 2018