schizophrenic numbers are numbers whose square roots "look" like rational numbers.
defined by
Sn=10Sn?1+n
S0=0
So they start 1,12,123,1234… and larger schizophrenic numbers look like 12345679012345679012…
The interesting thing about schizophrenic numbers is that the square root of the odd ones display long runs in their decimal representation.
but that doesn't explain the bizarre pattern shown. I was wondering if anyone has or could point me to an explanation.
defined by
Sn=10Sn?1+n
S0=0
So they start 1,12,123,1234… and larger schizophrenic numbers look like 12345679012345679012…
The interesting thing about schizophrenic numbers is that the square root of the odd ones display long runs in their decimal representation.
but that doesn't explain the bizarre pattern shown. I was wondering if anyone has or could point me to an explanation.
