

A327460


Lexicographically earliest infinite sequence of distinct positive integers such that for every k >= 1, all the k(k+1)/2 numbers in the triangle of differences of the first k terms are distinct.


15



1, 3, 9, 5, 12, 10, 23, 8, 22, 17, 42, 16, 43, 20, 38, 26, 45, 32, 65, 28, 64, 39, 76, 34, 81, 48, 98, 40, 92, 54, 109, 60, 116, 51, 114, 58, 117, 70, 136, 67, 135, 71, 145, 72, 147, 69, 146, 80, 164, 87, 166, 82, 170, 108, 198, 101
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OFFSET

1,2


COMMENTS

This is an infinite version of A327762. The first 55 terms are the same as in A327762.
The usual topological arguments show that there IS a sequence satisfying the definition. So far, the terms of A327460 lie on two roughly straight lines, of slopes about 1.75 and 3.5: see A328069, A328070.  N. J. A. Sloane, Oct 07 2019


LINKS



EXAMPLE

The difference triangle of the first k=8 terms of the sequence is
1, 3, 9, 5, 12, 10, 23, 8, ...
2, 6, 4, 7, 2, 13, 15, ...
4, 10, 11, 9, 15, 28, ...
14, 21, 20, 24, 43, ...
35, 41, 44, 67, ...
76, 85, 111, ...
161, 196, ...
357, ...
All 8*9/2 = 36 numbers are distinct.


CROSSREFS

The inverse binomial transform is A327459.


KEYWORD

nonn,nice


AUTHOR



STATUS

approved



