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Search: Posts Made By: Charles Kusniec
Forum: Charles Kusniec 2022-12-16, 20:52
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Today I found the old Klauber Triangle figures...

Today I found the old Klauber Triangle figures that were on the link http://inpp.ohiou.edu/~brune/talk_small.pdf.

This link is no longer active, but I had a copy of the figures.

For the record...
Forum: Charles Kusniec 2022-10-31, 14:08
Replies: 16
Views: 1,204
Posted By Charles Kusniec
See:...

See: https://www.mersenneforum.org/showthread.php?p=616879#post616879 .
Forum: Charles Kusniec 2022-10-30, 01:39
Replies: 16
Views: 1,204
Posted By Charles Kusniec
If it is not a proof without words, then yes, I...

If it is not a proof without words, then yes, I agree.

Specifically my sentence and photos mentioned by you in your question, are not proof of anything. Just a hint of the way to prove it using...
Forum: Charles Kusniec 2022-10-29, 21:26
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Missing picture in the 1st post.

https://www.mersenneforum.org/attachment.php?attachmentid=27543&stc=1&d=1667078730

Links:
https://www.facebook.com/groups/snypo/posts/519156819741262/...
Forum: Charles Kusniec 2022-10-28, 22:58
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Since there are infinite number of alignments in...

Since there are infinite number of alignments in each row, then this will also occur for the infinitely many alignments of a positive prime number with another negative prime number in all rows
Forum: Charles Kusniec 2022-10-28, 21:36
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Missing information in the 1st post.

Dear Chris Halsall,

Your remark "...without really explaining your argument," intrigued me.

Then, I realized that I neglected to write an important paragraph in the 3rd line of the first post...
Forum: Charles Kusniec 2022-10-28, 01:03
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Dear Chris Halsall, I humbly ask for all...

Dear Chris Halsall,

I humbly ask for all possible forgiveness for giving the impression that I am not "serious and wasting your time".

That was never my intention and if that is happening, I...
Forum: Charles Kusniec 2022-10-27, 21:20
Replies: 16
Views: 1,204
Posted By Charles Kusniec
The primes of the Takumi Sato´s 4 numerical sequences

The primes of the sequence https://oeis.org/A005563 is 3, only. It is the sequence https://oeis.org/A010701. (Today it is the best sequence to describe number 3).

The primes of the sequence...
Forum: Charles Kusniec 2022-10-27, 15:09
Replies: 16
Views: 1,204
Posted By Charles Kusniec
C001122 The Takumi Sato´s classification of natural numbers in Kircheri triangle.

In 2012 Takumi Sato classified the non-negative integers into 4 numerical sequences (https://web.archive.org/web/20140103130605/http://vixra.org/pdf/1210.0025v7.pdf) as follows:


...
Forum: Charles Kusniec 2022-10-01, 23:46
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Suggested idea

I believe it is an excellent potential result if we use the same idea presented in https://www.youtube.com/watch?v=6SzZ_jAHasE

https://www.youtube.com/watch?v=6SzZ_jAHasE

to do with all the...
Forum: Charles Kusniec 2022-09-29, 00:29
Replies: 16
Views: 1,204
Posted By Charles Kusniec
Kircheri triangle filled with non-negative integers and the OEIS sequence A055112

C000885 The Athanasii Kircheri triangle filled with non-negative integers is the example in the sequence 055112.

In this triangle, the central column is 002378 (oblong numbers) or 2 * 000217...
Forum: Charles Kusniec 2022-09-28, 13:08
Replies: 16
Views: 1,204
Posted By Charles Kusniec
C000884 The original Athanasii Kircheri triangle

C000884 The original Athanasii Kircheri triangle

In Pascal's triangle, the first row has 1 element, the second row has 2 elements, the third row has 3 elements, and so on. The number of elements...
Forum: Charles Kusniec 2022-09-28, 12:04
Replies: 16
Views: 1,204
Posted By Charles Kusniec
C000886 The Athanasii Kircheri triangle filled with positive integers

C000886 The Athanasii Kircheri triangle filled with positive integers.

When we fill the Athanasii Kircheri triangle with the positive integers, we get the following figure:
...
Forum: Charles Kusniec 2022-09-27, 22:51
Replies: 16
Views: 1,204
Posted By Charles Kusniec
C000885 The Athanasii Kircheri triangle filled with non-negative integers.

C000885 The Athanasii Kircheri triangle filled with non-negative integers.

The original triangle used by Athanasii Kircheri in Mundus Subterraneus...
Showing results 1 to 14 of 14

 
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