A328697 Rectangular array R read by descending antidiagonals: divide the multiples of 3 in the Wythoff array (A035513) by 3, and delete all others.

1, 7, 6, 48, 41, 2, 329, 281, 14, 3, 2255, 1926, 96, 5, 4, 15456, 13201, 658, 8, 28, 20, 105937, 90481, 4510, 13, 192, 137, 15, 726103, 620166, 30912, 21, 1316, 939, 103, 27, 4976784, 4250681, 211874, 34, 9020, 6436, 706, 185, 12, 34111385, 29134601, 1452206

Offset: 1

Author

Clark Kimberling, Oct 29 2019

Keywords

• nonn
• tabl

Comments

Every positive integer occurs in R exactly once, and every row of R is a linear recurrence sequence.

Row 1 of R is essentially A004187.

Row 2 of R is essentially A049685.

Row 4 of R is essentially A000045.

Examples

			Row 1 of the Wythoff array is (1,2,3,5,8,13,21,34,55,89,144,...), so that row 1 of R is (1,7,48,329,2255,...).
=====================
Northwest corner of R:
   1,   7,  48,  329,  2255,  15456,  105937,   726103
   6,  41, 281, 1926, 13201,  90481,  620166,  4250681
   2,  14,  96,  658,  4510,  30912,  211874,  1452206
   3,   5,   8,   13,    21,     34,      55,       89
   4,  28, 192, 1316,  9020,  61824,  423748,  2904412
  20, 137, 939, 6436, 44113, 302355, 2072372, 14204249
  15, 103, 706, 4839, 33167, 227330, 1558143, 10679671
		

Crossrefs

Cf. A035513, A004187, A049685, A000045, A328695, A328696.