A programming problem I'm playing with gives the following sequence:
$R(0) = 1$
$R(1) = 1$
$R(2) = 2$
$R(2n) = R(n) + R(n + 1) + n (for\; n > 1)$
$R(2n + 1) = R(n - 1) + R(n) + 1 (for\; n >= 1)$
Is this a known sequence or is this just something the creator thought up of? If it is real, is it in OEIS?