Thanks very much for your expert help. As you must have seen, the sequence I'd already come up with for D = - 1:
0 1 1 0 -1 -1 0 1 1 . . .
complies with the rule or algorithm a(n) = a(n-6) which you derive. However, the mathematical reasoning you employed to do that derivation is new to me. Is there a name for it? Where can I learn more about it?
I dimly follow your reasoning about negative birth rates. Can you think of any model other than biological reproduction to give sense to the equations?
Lastly, it looks like you could help me with another problem arising from a +plus magazine article. It's titled "When things get weird with infinite sums", Dec 18 2014. I wrote what is still the only comment under the heading "La Grandillusione", but am happy to be put right if I've failed to grasp what the Grandi series is about.
Thanks very much for your expert help. As you must have seen, the sequence I'd already come up with for D = - 1:
0 1 1 0 -1 -1 0 1 1 . . .
complies with the rule or algorithm a(n) = a(n-6) which you derive. However, the mathematical reasoning you employed to do that derivation is new to me. Is there a name for it? Where can I learn more about it?
I dimly follow your reasoning about negative birth rates. Can you think of any model other than biological reproduction to give sense to the equations?
Lastly, it looks like you could help me with another problem arising from a +plus magazine article. It's titled "When things get weird with infinite sums", Dec 18 2014. I wrote what is still the only comment under the heading "La Grandillusione", but am happy to be put right if I've failed to grasp what the Grandi series is about.
Chris G