I thought every pattern is encoded in Pi. If so then by contradiction you need infinitely many 1s for example. If number of ones is finite number N, let pattern

I thought every pattern is encoded in Pi. If so then by contradiction you need infinitely many 1s for example. If number of ones is finite number N, let pattern be 1 repeated N+1 times. =><= Edit my presumption is an open question ;) I misremembered.