OFFSET
1,2
COMMENTS
The "Quilt Tiling" is described in Shectman's paper (see Links section).
All terms belong to A006498.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10153
J. Parker Shectman, A Quilt after Fibonacci, Part 2 of 3: Cohorts, Free Monoids, and Numeration
Rémy Sigrist, Illustration of the connection between the "Quilt Tiling" and the sequences A000201 and A005206
Rémy Sigrist, PARI program for A345067
FORMULA
EXAMPLE
Array T(n, k) begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11
---+---+-------+-----------+-------------------+
1 | 1| 2 2| 6 6 6| 15 15 15 15 15|
+-----------+ | |
2 | 2| 4 4| 6 6 6| 15 15 15 15 15|
| | +---+-------+ |
3 | 2| 4 4| 1| 2 2| 15 15 15 15 15|
+---+---+---+---+-------+-------+-----------+
4 | 6 6| 1| 9 9 9| 2 2| 6 6 6|
| +---+ +-------+ |
5 | 6 6| 2| 9 9 9| 4 4| 6 6 6|
| | | | +---+-------+
6 | 6 6| 2| 9 9 9| 4 4| 1| 2 2|
+-------+---+---+-------+-------+---+-------+
7 | 15 15 15| 2| 4 4| 25 25 25 25 25|
| | | | |
8 | 15 15 15| 2| 4 4| 25 25 25 25 25|
| +---+---+---+ |
9 | 15 15 15| 6 6| 1| 25 25 25 25 25|
| | +---+ |
10 | 15 15 15| 6 6| 2| 25 25 25 25 25|
| | | | |
11 | 15 15 15| 6 6| 2| 25 25 25 25 25|
+-----------+-------+---+-------------------+
PROG
(PARI) See Links section.
CROSSREFS
AUTHOR
Rémy Sigrist, Jun 06 2021
STATUS
approved