A324144 Triangle read by rows: T(n,k) (1<=k<=n) = number of infinite exponential sequences related to pairs of complementary Fibonacci sequences.

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

Table of n, a(n) for n=1..91.

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

Adjacent sequences: A324141 A324142 A324143 * A324145 A324146 A324147

Keyword

nonn,tabl,changed

Author

N. J. A. Sloane, Feb 20 2019

Status

approved