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Rectangular array R read by descending antidiagonals: divide the multiples of 3 in the Wythoff array (A035513) by 3, and delete all others.
2

%I #13 Jul 10 2020 03:51:36

%S 1,7,6,48,41,2,329,281,14,3,2255,1926,96,5,4,15456,13201,658,8,28,20,

%T 105937,90481,4510,13,192,137,15,726103,620166,30912,21,1316,939,103,

%U 27,4976784,4250681,211874,34,9020,6436,706,185,12,34111385,29134601,1452206

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

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

%C Row 1 of R is essentially A004187.

%C Row 2 of R is essentially A049685.

%C Row 4 of R is essentially A000045.

%e 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,...).

%e =====================

%e Northwest corner of R:

%e 1, 7, 48, 329, 2255, 15456, 105937, 726103

%e 6, 41, 281, 1926, 13201, 90481, 620166, 4250681

%e 2, 14, 96, 658, 4510, 30912, 211874, 1452206

%e 3, 5, 8, 13, 21, 34, 55, 89

%e 4, 28, 192, 1316, 9020, 61824, 423748, 2904412

%e 20, 137, 939, 6436, 44113, 302355, 2072372, 14204249

%e 15, 103, 706, 4839, 33167, 227330, 1558143, 10679671

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

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Oct 29 2019