Anthony
• Member for 8 years, 9 months
• Last seen more than a week ago
• Washington, District of Columbia, United States
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I'm really into sports databases - especially baseball and futbol (Soccer in the U.S.). I started looking at math in my late 30's ! I consider myself an ok(-ish) amateur mathematician with more curiosity than my skills can manage.

I am also a National Team Coach for the United States Olympic & Paralympic Committee (USOPC) and so Team USA.

I have a few sequences in Sloan's database:

A293462: Let $$A_n$$ be a square $$n\times n$$ matrix with entries $$a_{ij}=1$$ if $$i+j$$ is a perfect power and $$a_{ij}=0$$ otherwise. Then A293462 counts the $$1$$'s in $$A_n.$$ It has been conjectured this sequence increases monotonically.

A292918: Let $$A_n$$ be a square $$n\times n$$ matrix with entries $$a_{ij}=1$$ if $$i+j$$ is a prime number and $$a_{ij}=0$$ otherwise. Then A292918 counts the $$1$$'s in $$A_n.$$

A323551 and A323552; which are the numerators and denominators of the partial product representation of $$\frac{\pi}{4}.$$ In particular

$$\prod\limits_{p\leq n}\frac{1}{1-(-1)^{(p-1)/2}p^{-1}}=\frac{A323551}{A323552}$$

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