A293666 Lexicographically earliest sequence of distinct positive integers such that the absolute value of the first difference contains only distinct prime numbers.

1, 3, 6, 11, 4, 15, 2, 19, 38, 7, 30, 59, 12, 49, 8, 51, 104, 21, 80, 9, 70, 137, 10, 83, 162, 5, 94, 191, 18, 119, 16, 123, 14, 127, 258, 17, 154, 293, 22, 171, 20, 183, 350, 13, 192, 373, 24, 215, 408, 25, 222, 23, 234, 457, 26, 253, 482, 33, 266, 27, 278

Offset

1,2

Comments

This sequence is a variant of A081145 and of A230455.

See A293667 for the first difference of this sequence.

For n > 1, n is even iff a(n) is odd.

Links

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

Rémy Sigrist, PARI program for A293666

Example

The following table shows the first terms, alongside the first terms of the first difference:
n       a(n)    a(n+1)-a(n)
--      ----    -----------
1       1       2
2       3       3
3       6       5
4       11      -7
5       4       11
6       15      -13
7       2       17
8       19      19
9       38      -31
10      7       23
11      30      29
12      59      -47
13      12      37
14      49      -41
15      8       43
16      51      53
17      104     -83
18      21      59
19      80      -71
20      9       61

Prog

(PARI) See Links section.

Crossrefs

Cf. A081145, A230455, A293667.

Sequence in context: A110080 A304086 A368382 * A093903 A364054 A117128

Adjacent sequences: A293663 A293664 A293665 * A293667 A293668 A293669

Keyword

nonn

Author

Rémy Sigrist, Oct 14 2017

Status

approved