Timeline for Can we prove the following statement for recurrence relation?
Current License: CC BY-SA 4.0
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Jun 25, 2023 at 15:11 | comment | added | was_n | Thanks for your comment @TerryTao. This perfectly solves my question. | |
Jun 24, 2023 at 18:46 | comment | added | Terry Tao | It seems that this is solved by $a_i = p^i (1-2p)^{n-i} \binom{n}{i}$ by a rearrangement of the binomial formula $(1-p)^{n-i} = \sum_{k=0}^{n-i} \binom{n-i}{k} p^k (1-2p)^{n-i-k}$, so yes once $p \leq 1/2$. | |
Jun 24, 2023 at 16:06 | history | edited | was_n | CC BY-SA 4.0 |
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Jun 24, 2023 at 15:42 | review | Close votes | |||
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Jun 24, 2023 at 15:05 | history | edited | was_n | CC BY-SA 4.0 |
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S Jun 24, 2023 at 15:05 | review | First questions | |||
Jun 24, 2023 at 15:06 | |||||
S Jun 24, 2023 at 15:05 | history | asked | was_n | CC BY-SA 4.0 |