# First Anniversary

2016-03-28, post № 113

art, #1 year, #1st, #animated, #animated gif, #birthday, #celebrate, #gif, #one year

J-Blog celebrates its first anniversary!

# Happy Easter II

2016-03-27, post № 112

art, #animated, #animated gif, #bunny, #celebrating, #celebrating easter, #chicken, #egg, #gif, #present, #rabbit

Little pixel guy wishes you a happy easter!

# Pascal’s Triangle

2016-03-26, post № 111

mathematics, programming, Pygame, Python, #crown, #generate, #sequence

Pascal’s triangle is an interesting mathematical sequence. It is often written as a triangle, starting with $\{1\}$, then $\{1,1\}$. To generate the next row, you add the two numbers above to form another one. So the next row in the sequence is $\{1,2,1\}$ then $\{1,3,3,1\}$, $\{1,4,6,4,1\}$ and so on (sequence A007318 in OEIS).

One interesting property of Pascal’s triangle is the generation of binomials.
To calculate $(a+b)^4$, you can look at the 𝟦-th row (listed above and when starting to count at 𝟢) and determine

This program generates Pascal’s sequence in a rather unusual shape, looking a bit like a crown.