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

1,2

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.

Links

Table of n, a(n) for n=1..48.

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,...).
=====================
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.

Sequence in context: A073112 A070425 A163842 * A288245 A038272 A249992

Adjacent sequences: A328694 A328695 A328696 * A328698 A328699 A328700

Keyword

nonn,tabl

Author

Clark Kimberling, Oct 29 2019

Status

approved