Gibonacci Series Limit as p approaches Infinity
To confirm the above assertion of the relationship between the Gibonacci sequences and 2n-p, we shift from the notion of p as having a specific integer value and instead examine the case of the upper boundary of p, considering the logic of p=all, or rather the integer sequence produced by starting with a 0 and a 1, then adding all the previous values of the sequence together to produced the next value in the sequence. This logic produces the following values:
0, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096…
This result, expressed formally is
1.9
So we can see that the logic of the Gibonacci series ultimately leads to the aforementioned approximation of 2n-p.
