Editor-in-Chief, interested primarily in computational number theory and allied fields.
I can be contacted via my Talk page here, or by email.
User:Charles R Greathouse IV/Averages
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Early draft of an article.
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User:Charles R Greathouse IV/Chase sequences
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'Chase sequences': Axxxxxx refers to Ayyyyyy, which refers to Azzzzzz...
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User:Charles R Greathouse IV/Favorites
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Some of my favorite sequences.
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User:Charles R Greathouse IV/Format
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Discusses the correct format of b-files and how to repair ill-formatted b-files.
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User:Charles R Greathouse IV/Junk
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Disreputable publishers, journals, etc.
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User:Charles R Greathouse IV/Keywords
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Information on keywords: when to use them, new ones to add, etc.
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User:Charles R Greathouse IV/Metadata
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Plans for OEIS metadata: keywords, categories, the index, etc.
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User:Charles R Greathouse IV/Pari
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Some PARI/GP tools.
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User:Charles R Greathouse IV/Programs
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Programs in the OEIS: types, format, etc.
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User:Charles R Greathouse IV/Projects
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Other mathematical databases, fingerprint databases, and similar projects
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User:Charles R Greathouse IV/Properties
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Sequence properties and classes
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User:Charles R Greathouse IV/Rule of thumb
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Sequences should take 1 hour to prepare for submission.
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User:Charles R Greathouse IV/Standards
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How to write up certain kinds of sequences.
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User:Charles R Greathouse IV/Tables of special primes
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Types of primes and their densities
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User:Charles R Greathouse IV/To do
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Sequences to work on and b-files to fix.
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User:Charles R Greathouse IV/Vanity
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Sequences named after their discoverer.
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User:Charles R Greathouse IV/Wiki
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Tools for the OEIS wiki.
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Projects:
Useful links:
A000032:
Lucas numbers (beginning with
2)*:
L (n) = L (n − 1) + L (n − 2) |
with
.
-
{ 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, ... }
John Blythe Dobson connected some dots regarding Lucas and Fibonacci numbers:
The comments submitted by Miklos Kristof from Mar 19, 2007 for the Fibonacci numbers (A000045) contain four important identities which have close analogues in the Lucas numbers (A000204): For and odd , L (a + b) + L (a − b) = 5 F (a) F (b) |
. For and even , L (a + b) + L (a − b) = L (a) L (b) |
. For and odd , L (a + b) − L (a − b) = L (a) L (b) |
. For and even , L (a + b) − L (a − b) = 5 F (a) F (b) |
.
_______________
*
A000204 Lucas numbers (beginning with
1):
L (n) = L (n − 1) + L (n − 2) |
with
.
Sequences in the News
- Aug 17 2021 Swiss scientists announce they have calculated π (A000796) to 62.8 trillion digits in only 108 days.
- Dec 25 2018 German Heise-News "integers, please" column explains A003173 and OEIS.
- Feb 01 2018 Alphabet announced a $8,589,869,056 = $A000396(6) stock buyback.
- Jan 03 2018 Largest known term of A000043 announced: 77232917.
- Nov 18 2016 PrimeGrid proves that 10223 is not a Sierpinski number, since 10223 × 2 31172165 + 1 is prime. So no changes to A076336 for now.
- Sep 14 2016 Tom Greer discovers the twin primes 2996863034895 × 2 1290000 ± 1 using PrimeGrid, TwinGen and LLR.
- Jan 19 2016 Largest known term of A000043 announced: 74207281, also discovered by Curtis Cooper.
Complaints
I strive to live up to the highest ethical standards. If you feel that I have wrongly rejected one of your sequences (or otherwise failed to meet the expected standards), please leave a note at Complaints About Editing where it will be reviewed. I hope that in all cases you will first contact me (through the pink comment boxes, on my user page, or by email).