A339574 Compound Zeckendorf diagonal sequence in two dimensions, read by antidiagonals.

1, 2, 4, 6, 10, 16, 18, 22, 38, 44, 46, 56, 94, 112, 138, 140, 168, 184, 296, 342, 364, 366, 370, 476, 520, 862, 908, 954, 1042, 1052, 1102, 1146, 1522, 2008, 2182, 2200, 2270, 2592, 2630, 2952, 4960, 5100, 5328, 6054, 6992, 6998, 7710, 8044, 8194, 9056, 10566

Offset

1,2

Links

Peter Kagey, Table of n, a(n) for n = 1..105 (first 14 rows, flattened)

Chen, E., Chen, R., Guo, L., Jiang, C., Miller, S. J., Siktar, J. M., & Yu, P., Gaussian Behavior in Zeckendorf Decompositions From Lattices, arXiv preprint arXiv:1809.05829 [math.NT], 2018. Also Fib. Q., 57:5 (2019), 201-212.

Example

The array begins:
  ...
  6992, ...
  2200, 6054, ...
   954, 2182, 5328, ...
   364,  908, 2008, 5100, ...
   138,  342,  862, 1522, 4966, ...
    44,  112,  296,  520, 1146, 2952, ...
    16,   38,   94,  184,  476, 1102, 2630, ...
     4,   10,   22,   56,  168,  370, 1052, 2592, ...
     1,    2,    6,   18,   46,  140,  366, 1042, 2270, ...
The first few antidiagonals are:
     1;
     2,    4;
     6,   10,   16;
    18,   22,   38,   44;
    46,   56,   94,  112,  138;
   140,  168,  184,  296,  342,  364;
   366,  370,  476,  520,  862,  908,  954;
  1042, 1052, 1102, 1146, 1522, 2008, 2182, 2200;
  2270, 2592, 2630, 2952, 4960, 5100, 5328, 6054, 6992;
  ...

Crossrefs

See A335154 for the "simple" (as opposed to compound) version.

Sequence in context: A352587 A301374 A130320 * A258599 A101176 A192447

Adjacent sequences: A339571 A339572 A339573 * A339575 A339576 A339577

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 11 2020

Status

approved