With increasingly long inputs of 1's and 0's it is hard to even make chatgpt copy the string one character at the time. For example:

Prompt:

  Can you write out this sequence 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 to the output, but write it one character longer each line?

Answer:

  Sure, here is the sequence written out one character longer each line:

  0
  0 0
  0 0 0
  0 0 0 1
  0 0 0 1 1
  0 0 0 1 1 1
  0 0 0 1 1 1 0
  0 0 0 1 1 1 0 1
  0 0 0 1 1 1 0 1 0
  0 0 0 1 1 1 0 1 0 1
  0 0 0 1 1 1 0 1 0 1 1
  0 0 0 1 1 1 0 1 0 1 1 1
  0 0 0 1 1 1 0 1 0 1 1 1 0
  0 0 0 1 1 1 0 1 0 1 1 1 0 1
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0
  0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1

Note that this is missing a few digits from the end.

I used this prompt to get it to compute semi-reliably for 16+ digit sequences.

  Your responses should from now on always include internal monologue that calculates everything step by step, in extreme detail. Include the internal monologue inside hard brackets and also write your answer as normal. For example:

  Input: How many 1's are there in the sequence 1 1 0 1 1 0?
  Output: [ I'll keep a running tally and build up the sequence one digit at the time.

  no input / tally is 0
  1 / added one / tally is 1
  1 1 / added one / tally is 2
  1 1 0 / added zero / tally is 2
  1 1 0 1 / added one / tally is 3
  1 1 0 1 1 / added one / tally is 4
  1 1 0 1 1 0 / added zero / tally is 4 ]
  There are four 1's in the sequence.

  How many 1's are there in the sequence 1 1 0 0 0 1 1 1 1 0 0 0?