1,2

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.

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

Cf. A145818 A145812 A145849

Sequence in context: A142299 A010005 A063522 this_sequence A125992 A054402 A086533

Adjacent sequences: A145847 A145848 A145849 this_sequence A145851 A145852 A145853

nonn

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Oct 21 2008