Timeline for Generalization of Lucas sequences to order 3 (and above)
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 7, 2023 at 1:50 | comment | added | Max Alekseyev | @GerryMyerson: Thanks for the pointer, although I'm not that impressed by relations they develop (eg. they connect $J_n$ to $u_n$, which in general is not integer). I have a gut feeling that a proper generalization should be based on symmetric polynomials. | |
| May 7, 2023 at 0:10 | comment | added | Gerry Myerson | Shannon and Horadam, fq.math.ca/Scanned/10-2/shannon.pdf suggest, for $S_n=PS_{n-1}+QS_{n-2}+RS_{n-3}$, the sequences that begin $0,1,P$; $1,0,Q$; and $0,0,R$. | |
| May 6, 2023 at 22:18 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
improved
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| May 6, 2023 at 14:50 | history | asked | Max Alekseyev | CC BY-SA 4.0 |