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A324144
Triangle read by rows: T(n,k) (1<=k<=n) = number of infinite exponential sequences related to pairs of complementary Fibonacci sequences.
0
1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 2, 3, 4, 2, 0, 4, 3, 0, 1, 2, 3, 1, 4, 3, 3, 4, 1, 3, 2, 2, 3, 6, 3, 4, 4, 0, 2, 2, 0, 3, 3, 0, 1, 4, 3, 2, 4, 3, 4, 6, 3, 3, 2, 1, 3, 1, 3, 3, 4, 6, 3, 6, 3, 2, 4, 0, 4, 4, 0, 4, 3, 0, 3, 3, 0, 2, 1, 3, 4, 4, 3, 3, 4, 3, 6, 6, 3, 3
OFFSET
1,2
COMMENTS
The precise definition of this triangle (V(a_1,a_2)) follows the proof of Theorem 5 on page 260.
LINKS
J-P. Bode, H. Harborth, C. Kimberling, Complementary Fibonacci sequences, Fibonacci Quarterly 45 (2007), 254-264. See Table 18.
EXAMPLE
Triangle begins:
1,
2,1,
0,2,0,
2,1,1,1,
1,2,3,2,3,
4,2,0,4,3,0,
1,2,3,1,4,3,3,
4,1,3,2,2,3,6,3,
4,4,0,2,2,0,3,3,0,
1,4,3,2,4,3,4,6,3,3,
2,1,3,1,3,3,4,6,3,6,3,
2,4,0,4,4,0,4,3,0,3,3,0,
2,1,3,4,4,3,3,4,3,6,6,3,3,
...
CROSSREFS
Cf. A022424.
Sequence in context: A120614 A287516 A252055 * A320836 A375512 A071961
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Feb 20 2019
STATUS
approved