A364133 Index k of A007814(A000127(k)) at record terms.

1, 2, 3, 4, 5, 10, 1034, 1619, 19940, 151012, 185354, 937444, 17714660, 30594058, 53467077, 401540691, 1127208901, 34761279059, 1529978475530, 12645510928325

Offset: 0

Author

Nicolas Bělohoubek, Jul 10 2023

Keywords

• nonn
• more

Comments

For polynomial sequences like A000127 we can always find a recurrence formula, and with that you can show that all polynomial sequences mod m will be periodic. Terms of this sequence were found using A000127(k) mod 2^x, with a recursion formula, treating each k separately. This method limits the size of working quantities.

This sequence is related to the question: Is there a another power of 2 among Moser's circle numbers?

Links

• Burkard Polster, Why don't they teach Newton's calculus of 'What comes next?', YouTube video, Oct 02 2021.
• Kevin Ryde, PARI/GP Code
• Grant Sanderson, The absurd circle division pattern (updated) | Moser's circle problem, YouTube video, Jul 02 2023.

Crossrefs

Cf. A000127, A007814.