OFFSET
0,13
COMMENTS
This sequence has similarities with A334348.
LINKS
Rémy Sigrist, Colored representation of the array for n, k <= 1000 (white for 0's, shades of blue for negative values, shades of red for positive values)
Rémy Sigrist, PARI program
Wikipedia, NegaFibonacci coding
FORMULA
EXAMPLE
Array A(n, k) begins:
n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12 13
---+------------------------------------------------
0| 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1| 0 1 0 1 0 0 1 0 1 0 0 1 0 0
2| 0 0 2 2 0 0 0 2 2 0 0 0 0 0
3| 0 1 2 3 0 0 1 2 3 0 0 1 0 0
4| 0 0 0 0 4 5 5 5 5 -1 0 0 -1 0
5| 0 0 0 0 5 5 5 5 5 0 0 0 0 0
6| 0 1 0 1 5 5 6 5 6 0 0 1 0 0
7| 0 0 2 2 5 5 5 7 7 0 0 0 0 0
8| 0 1 2 3 5 5 6 7 8 0 0 1 0 0
9| 0 0 0 0 -1 0 0 0 0 9 10 10 12 13
10| 0 0 0 0 0 0 0 0 0 10 10 10 13 13
11| 0 1 0 1 0 0 1 0 1 10 10 11 13 13
12| 0 0 0 0 -1 0 0 0 0 12 13 13 12 13
13| 0 0 0 0 0 0 0 0 0 13 13 13 13 13
.
For n = 14 and k = 43:
- using F(-k) = A039834(k):
- 14 = F(-1) + F(-7),
- 43 = F(-2) + F(-4) + F(-7) + F(-9),
- so A(14, 43) = F(-7) = 13.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
AUTHOR
Rémy Sigrist, Aug 03 2022
STATUS
approved