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A328697
Rectangular array R read by descending antidiagonals: divide the multiples of 3 in the Wythoff array (A035513) by 3, and delete all others.
2
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
1,2
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.
EXAMPLE
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,...).
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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
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Oct 29 2019
STATUS
approved