# [seqfan] Re: Colour, read and jump

Prof. Dr. Alois Heinz heinz at hs-heilbronn.de
Mon Jul 13 14:42:55 CEST 2009

```I think, there is an error in line 15:
14 had to go 15 steps and should be behind 24 instead of 23.

My computation gives 155 terms (and more):

1, 3, 2, 4, 5, 8, 6, 7, 9, 12, 13, 10, 11, 16, 14, 17, 18, 15, 20, 24, 19,
25, 21, 22, 23, 31, 26, 34, 27, 33, 28, 37, 29, 38, 36, 30, 39, 32, 35,
46, 44, 47, 40, 48, 41, 42, 43, 49, 50, 53, 45, 58, 51, 59, 61, 52, 67,
54, 68, 55, 69, 56, 70, 57, 60, 73, 62, 63, 64, 65, 66, 80, 90, 71, 72,
74, 91, 94, 75, 76, 77, 78, 79, 93, 81, 95, 82, 83, 96, 102, 84, 97, 85,
86, 87, 107, 88, 108, 89, 109, 110, 106, 92, 98, 122, 118, 99, 100, 101,
127, 103, 104, 129, 105, 121, 130, 131, 132, 135, 111, 128, 112, 137, 113,
114, 138, 134, 115, 116, 136, 140, 117, 141, 119, 120, 139, 123, 124, 125,
126, 150, 142, 143, 144, 147, 146, 133, 164, 166, 167, 170, 171, 165, 145,
148, ...

And "integers, in this sequence, which keep the same rank" are
1, 4, 5, 9, 142, 143, 144, 146, ...

Alois

Eric Angelini schrieb:

>Hello SeqFans,
>... here is a variation on the same theme:
>(help needed to complete!)
>Best,
>É.
>----
>
>(...)
>Write the seq. N of the natural numbers:
>
>N =  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 ...
>
>Rule two: at step 'n', the yellow integer 'n' has to jump over k integers to the right (k is given by the integer on the right-side of 'n')
>Rule three: make 'n'='n'+1 then go back to Rule one and apply again to the re-ordered set of Naturals.
>(...)
>
>
>_______________________________________________
>
>Seqfan Mailing list - http://list.seqfan.eu/
>
>
>

```