[seqfan] A sequence linked to A001045(n)

[Paul Curtz]

Dear fans,

Consider
a(n) = 1, 3, 4, 17, 16, 73, 64, 297, 256, 1193, 1024, 4777, 4096, 19113, ... .
b(n) = a(n) - 2*a(n-1) = 1, -2, 9, -18, 41, -82, 169, -338, ... = mix A083584(n), -2*A083584(n).
b(n) + period 2: repeat (2, -3) = (-1)^n*A001045(n+3).
a(n) - mix (0, A083584(n)) = 2^n.

Regards,
Paul