Some Properties of Convolved 𝑘-Fibonacci Numbers

Table 2

𝐹^(𝑟)_2,𝑛, with 𝑟=1,2,3,4,5,6,7,8,….

𝑛	𝐹^(1)2,𝑛	𝐹^(2)2,𝑛	𝐹^(3)2,𝑛	𝐹^(4)2,𝑛	𝐹^(5)2,𝑛	𝐹^(6)2,𝑛	𝐹^(7)2,𝑛	𝐹^(8)2,𝑛
0	0	0	0	0	0	0	0	0
1	1	1	1	1	1	1	1	1
2	2	4	6	8	10	12	14	16
3	5	14	27	44	65	90	119	152
4	12	44	104	200	340	532	784	1104
5	29	131	366	810	1555	2709	4396	6756
6	70	376	1212	3032	6482	12432	22008	36624
7	169	1052	3842	10716	25235	52808	101220	181224
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮