|
|
A059503
|
|
The array in A059502 read by antidiagonals in 'up' direction.
|
|
7
|
|
|
1, 2, 3, 3, 5, 9, 4, 7, 14, 27, 5, 9, 19, 40, 80, 6, 11, 24, 53, 114, 234, 7, 13, 29, 66, 148, 323, 677, 8, 15, 34, 79, 182, 412, 910, 1941, 9, 17, 39, 92, 216, 501, 1143, 2551, 5523, 10, 19, 44, 105, 250, 590, 1376, 3161, 7120, 15615, 11, 21, 49, 118
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
T(n,k) = ((3 - k)*Fibonacci(2*k) + (5*n + 3*k)*Fibonacci(2*k - 1))/5. - G. C. Greubel, Sep 10 2017
|
|
EXAMPLE
|
The array begins
1 3 9 27 80 ...
2 5 14 40 ...
3 7 19 ...
4 9 5 ...
|
|
MATHEMATICA
|
T[n_, k_] := ((3 - k)*Fibonacci[2*k] + (5*n + 3*k)*Fibonacci[2*k - 1])/5;
TableForm[Table[T[n, k], {n, 0, 5}, {k, 1, 5}]]
Table[T[n - k, k + 1], {n, 0, 10}, {k, 0, n}]//Flatten (* G. C. Greubel, Sep 10 2017 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|