[seqfan] Re: Avoiding Backwards Sums

[Leroy Quet]

--- On Mon, 6/1/09, Hagen von EItzen <math at von-eitzen.de> wrote:

> From: Hagen von EItzen <math at von-eitzen.de>
>...
> [1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 17, 19, 21, 22,
> 24, 25, 28, 
> 29, 30, 31, 32, 34, 36, 37, 39, 40, 41,43, 44, 46, 47, 48,
> 49, 50, 51, 
> 52, 54, 55, 57, 61, 62, 63, 64, 66, 67, 70, 72, 73, 74, 75,
> 78, 79, 80, 
> 81, 84, 88, 90, 91, 94, 95, 97, 99, 100, 102, 104, 105,
> 106, 107, 109, 
> 110, 111, 112, 116, 119, 120, 121, 122, 123, 124, 125, 126,
> 127, 128, 
> 129, 130, 133, 138, 140, 142, 143, 144, 145, 146, 147, 148,
> 149, 150, 151]
> 
> Hence your sequence has ..,17, 19, 21, ... where A141204
> has ...,17, 18, 
> 20, ...

Thanks for calculating those. I will submit the new sequence, giving credit to you for the calculations.

Positive integers missing:
3,7,12,16,18,20,23,26,27,33,35,...
Differences between these terms:
4,5,4,2,2,3,3,1,6,2,...

Hmmm. My sequence doesn't look like a Beatty sequence after all.

I don't think the sequence of missing terms is in the EIS. Neither is the differences between the missing terms. I won't bother submitting these sequences, I don't think.

Thanks,
Leroy Quet