# [seqfan] Re: A048717 and A144795

Ivica Kolar telpro at kvid.hr
Thu Nov 17 06:56:26 CET 2011

```Franklin, thank you.
I'll do that.

at least original sequence in my context does that:
m = 1, 4, 7, 8,13,15,...
Context of m is: 2^n -m

Searching for such seuence I got nothing so I took 1 from that and serach
resulted in
0,3,6,7,...   A048717
Noticing that A048717 is contained in my sequence and
because full sequence could be important for my case and closed formula very
welcomed
I've consulted SuperSeeker and got: A144795.
Still, no hint of a closed formula there.

May I Conjecture this:
Differences of A144795 which are > 1 are of the form 2^k +1, k=0,1,2,...inf.

K of Differences begins (- stands for diff=1, -: is inital term):
k:   -:,  1,1, -, 2,0, -,
3,1,-,0,-,4,1,1,-,-,1,-,0,-,5,1,1,-,2,0,-,-,1,1,-,-,1,-,0,-,6,1,1,-,2,0,-,3,1,-,0,-,-,1,1,-,2,0,-,-,1,1,-,-,1,-,0,-,7,...

Seems that every k will occure eventually.

Regards,
--ivica

----- Original Message -----
From: <franktaw at netscape.net>
To: <seqfan at list.seqfan.eu>
Sent: Thursday, November 17, 2011 3:18 AM
Subject: [seqfan] Re: A048717 and A144795

> Don't be afraid to make changes. All changes are reviewed by the editors.
> There are others who don't know English well who make contributions.
>
>
> -----Original Message-----
> From: Ivica Kolar <telpro at kvid.hr>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Wed, Nov 16, 2011 7:58 pm
> Subject: [seqfan] Re: A048717 and A144795
>
>
> Thank you,
> but I'd like to keep myself off changing OEIS.
> English is not my language.
> Ivica Kolar,
>
> ----- Original Message -----
> From: <franktaw at netscape.net>
> To: <seqfan at list.seqfan.eu>
> Sent: Thursday, November 17, 2011 2:50 AM
> Subject: [seqfan] Re: A048717 and A144795
>
>
>> The best way to deal with this is to go ahead and make a change or
> two.
>> In the "CROSSREFS" section, add something like "Subsequence of
>> A144795." (for A048717), or "A048717 is a subsequence." (for A144795).
>>
>>
>> -----Original Message-----
>> From: Ivica Kolar <telpro at kvid.hr>
>>
>> A048717 is a subsequence of A144795.
>>
>> Example:
>> A144795:
>> 3,6,7,12,14,15,24,27,28,30,31,48,51,54,55,56,59,60,62,63,96,99,...
>> A048717:   3,6,7,12,14,15,24,   28,30,31,48,51,      56,
>> 60,62,63,96,99,...
>>
>> A048717:
>> "In binary expansion, 1-bits occur only in groups of two or more,
>>       separated from other such groups by at least two 0-bits."
>>
>> Can we say similary for A144795:
>> In binary expansion, 1-bits occur only in groups of two or more,
>>       separated from other such groups by at least one 0-bit.
>>
>> Regards,
>> Ivica Kolar
>>
>>
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```