s = 0
unseen = 1
seen(v) = bit test(s, v)
see(v) = s = bit or(s, 2^v); while (seen(unseen), unseen++)

other(p) = {
	see(p);
	my (h=sumdigits(p, 2));
	for (v=unseen, oo,
		if (!seen(v) && h <= sumdigits(v,3),
			return (v);
		);
	);
}

v=1; for (n=1, 100 000, print (n " " v " " unseen); v=other(v));

quit