A282716 Generalized Pascal triangle based on Zeckendorf representation of numbers, read by rows.

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 1, 4, 6, 0, 4, 0, 0, 1, 1, 2, 3, 3, 3, 1, 3, 0, 0, 1, 1, 2, 4, 3, 2, 1, 1, 2, 0, 0, 1, 1, 2, 5, 4, 1, 1, 0, 2, 0, 0, 0, 1, 1, 3, 3, 1, 4, 0, 1, 1, 0

Offset

0,9

Links

Lars Blomberg, Table of n, a(n) for n = 0..10000

Julien Leroy, Michel Rigo, Manon Stipulanti, Counting the number of non-zero coefficients in rows of generalized Pascal triangles, Discrete Mathematics 340 (2017), 862-881. See Table 3.

Example

Triangle begins:
1,
1,1,
1,1,1,
1,1,2,1,
1,2,1,0,1,
1,1,3,3,0,1,
1,2,2,1,2,0,1,
1,2,3,1,1,0,0,1,
1,1,4,6,0,4,0,0,1,
1,2,3,3,3,1,3,0,0,1
1,2,4,3,2,1,1,2,0,0,1
1,2,5,4,1,1,0,2,0,0,0,1
1,3,3,1,4,0,1,1,0,0,0,0,1
...

Crossrefs

For number of nonzero entries in rows see A282717.

Cf. A014417.

Sequence in context: A015488 A014570 A015131 * A167194 A185018 A333289

Adjacent sequences: A282713 A282714 A282715 * A282717 A282718 A282719

Keyword

nonn,tabl

Author

N. J. A. Sloane, Mar 02 2017

Extensions

More terms from Lars Blomberg, Mar 03 2017

Status

approved