login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A293666 Lexicographically earliest sequence of distinct positive integers such that the absolute value of the first difference contains only distinct prime numbers. 2
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 (list; graph; refs; listen; history; text; internal format)
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: A083462 A110080 A304086 * A093903 A117128 A006509

Adjacent sequences:  A293663 A293664 A293665 * A293667 A293668 A293669

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Oct 14 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 15:46 EDT 2019. Contains 328267 sequences. (Running on oeis4.)