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User:FUNG Cheok Yin
I currently spend lots of time to study programming through books, Coursera and practice.
Pardon me if you catch my grammatical mistakes. I am lazy and dumb in front of computers.
"Cheok" is not my middle name, it is part of my first name -- sometimes I write my name as "Cheok-Yin Fung".
My Chinese name somehow resembles names for Chinese boys, but I am a female.
- Computer algebra system preference: Maxima
- Computer skills: basic C++ Programming, basic Perl, basic web admin(e.g. HTML), functional LaTeX, wiki_edit, functional English, Chinese typing , GIMP
- Years in unrequited love with math: since 12-year-old
-- 04:38, 2 April 2018 (EDT)
Some polyominoes data (complied from wikipedia) (select "view source" or "edit" for use): /pent /hex /hep
Some polycube data ( complied from wikipedia, https://userpages.monmouth.com/~colonel/c5com/index.html and http://www.gamepuzzles.com/sqnames.htm, see also the MathWorld entry Pentacube ): /polycube_tri /polycube_tetr /polycube_pent_free /polycube_pent_E3
definitive paper on polyominoes counting (by D. H. Redelmeier): http://www.sciencedirect.com/science/article/pii/S0012365X81800155
Polyominoes Program (by Luc Maranget) : http://pauillac.inria.fr/~maranget/soft/poly
When I was small, I hated base-dependent integer sequence; but recently I realize every interesting integer sequence has applications on daily life (e.g. memorizing phone/ID cards numbers).
an unmathematical piece concerning numbers (psychology research):
What makes a number easy to remember? by M Milikowski & J Elshout (1995)
The paper just concerns number from 1~100.
Some of my favorite integer sequences which have been (often re-)discovered by other human beings:
other favorites:
- A003459 "Absolute primes"
- A131687 "Days of the year that are prime numbers in format mmdd"
- A167050 "Squarefree numbers with as many decimal digits as distinct prime factors"
Proofs
- Proof of a statement by Ely Golden in Dec 2016, related to A048597
- Proof that a(10^m - 1) = repunit(9 * m) on A004290
- Proof that Lim_{n->infinity} A346526(n)/A346526(n-1) = 1.
- Proof of the formula of A127793.
