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Date: 10-1-2021
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Date: 6-12-2020
496
Date: 26-2-2020
523
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An -step Lucas sequence is defined by letting for , , and other terms according to the linear recurrence equation
for .
The first few sequences of -step Lucas numbers are summarized in the table below.
OEIS | , , ... | |
2 | A000204 | 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ... |
3 | A001644 | 1, 3, 7, 11, 21, 39, 71, 131, 241, 443, ... |
4 | A001648 | 1, 3, 7, 15, 26, 51, 99, 191, 367, 708, ... |
5 | A023424 | 1, 3, 7, 15, 31, 57, 113, 223, 439, 863, ... |
REFERENCES:
Noe, T. D. and Post, J. V. "Primes in Fibonacci -step and Lucas -Step Sequences." J. Integer Seq. 8, Article 05.4.4, 2005. https://www.cs.uwaterloo.ca/journals/JIS/VOL8/Noe/noe5.html.
Sloane, N. J. A. Sequences A000204/M2341, A001644/M2625, A0016482648, and A023424 in "The On-Line Encyclopedia of Integer Sequences."
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