|
| |
|
|
A054124
|
|
Left Fibonacci row-sum array, n >= 0, 0<=k<=n.
|
|
4
| |
|
|
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 7, 5, 1, 1, 1, 2, 4, 8, 11, 6, 1, 1, 1, 2, 4, 8, 15, 16, 7, 1, 1, 1, 2, 4, 8, 16, 26, 22, 8, 1, 1, 1, 2, 4, 8, 16, 31, 42, 29, 9, 1, 1, 1, 2, 4, 8, 16, 32, 57, 64, 37, 10, 1, 1, 1, 2
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,9
|
|
|
COMMENTS
| Reflection of array in A054123 about vertical central line.
|
|
|
LINKS
| Index entries for triangles and arrays related to Pascal's triangle
|
|
|
FORMULA
| T(n, 0)=T(n, n)=1 for n >= 0; T(n, k)=T(n-1, k-1)+T(n-2, k-1) for k=1, 2, ..., n-1, n >= 2.
|
|
|
EXAMPLE
| Rows: {1}, {1,1}, {1,1,1}, {1,1,2,1}, {1,1,2,3,1}, ...
|
|
|
CROSSREFS
| Row sums: 1, 2, 3, 5, 8, 13, ... (Fibonacci numbers, A000045). Central numbers: 1, 1, 2, 4, 8, ... (binary powers, A000079).
First n numbers of n-th column for n >= 1 form the array in A008949.
Sequence in context: A122945 A205573 A119338 * A144406 A179748 A096670
Adjacent sequences: A054121 A054122 A054123 * A054125 A054126 A054127
|
|
|
KEYWORD
| nonn,tabl,eigen,nice
|
|
|
AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
|
| |
|
|
