A333028 - OEIS

A333028

Array consisting of the primitive rows of the Wythoff array (A035513), read by antidiagonals.

1, 2, 4, 3, 7, 14, 5, 11, 23, 17, 8, 18, 37, 28, 19, 13, 29, 60, 45, 31, 25, 21, 47, 97, 73, 50, 41, 27, 34, 76, 157, 118, 81, 66, 44, 30, 55, 123, 254, 191, 131, 107, 71, 49, 35, 89, 199, 411, 309, 212, 173, 115, 79, 57, 43, 144, 322, 665, 500, 343, 280

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OFFSET

1,2

COMMENTS

In a row of the Wythoff array, either every two consecutive terms are relatively prime or else no two consecutive terms are relatively prime. In the first case, we call the row primitive; otherwise, the row is an integer multiple of a tail of a preceding row. The primitive rows are interspersed, in the sense that if h < k then the numbers in row k are interspersed, in magnitude, among numbers in row h. In each row, every pair of consecutive numbers is a Wythoff pair of relatively prime numbers. The array includes every prime.

LINKS

Table of n, a(n) for n=1..61.

EXAMPLE

Northwest corner:

1 2 3 5 8 13 21 34

4 7 11 18 29 47 76 123

14 23 37 60 97 157 254 411

17 28 45 73 118 191 309 500

19 31 50 81 131 212 343 555

25 41 66 107 173 280 453 733

27 44 71 115 186 301 487 788

30 49 79 128 207 335 542 877