[seqfan] Re: integer sequence that is the sum of two or more known integer sequences

Charles Greathouse charles.greathouse at case.edu
Wed Jul 8 22:25:32 CEST 2015


A raw search suggests that there are very few formulas which literally
match Robert's form

egrep -c "a\(n\) = A......\(n\) \+ A......\(n\)"

(521 hits, 418 of them formulas)

The more specific, albeit more forgiving, form
egrep -c "a\(n\) *= *A[0-9][0-9][0-9][0-9][0-9][0-9]\(.+\) *[-+]
*A[0-9][0-9][0-9][0-9][0-9][0-9]\(.+\)([.;,]| *=| *for )"
has 3704 matches, 2811 of them in formulas. In any case these are a small
fraction of the total.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Wed, Jul 8, 2015 at 12:40 PM, <israel at math.ubc.ca> wrote:

> If "regular expression" searches were possible, you might find most of
> them with a search for "a(n) = A??????(n) + A???????(n)" and maybe some
> others.
> Cheers,
> Robert
>
>
> On Jul 8 2015, Craig Knecht wrote:
>
>  Is there a way to sort the data base to find all integers sequences that
>> are stated to be the sum of other integer sequences?
>> The percentage of the total would be of some interest. I also have a idea
>> of trying to reverse engineer a sequence based on such data.
>>
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