9.40.1 Top new questions this week

9.40.1.1 Finding the general formula for the sequence defined by $u_1 = 1$ and $u_ n+1  = u_n + 1 + \sqrt u_n+3 $
9.40.1.2 Digits of Pi in colored spiral
9.40.1.3 Why does Mathematica get the infinite sum of this representation of the taylor series of $\cos^2(x)$ wrong?
9.40.1.4 Searching AnatomyData efficiently
9.40.1.5 Making a Scanimation
9.40.1.6 Sum of its parts - replicating a porcelain sculpture of Nuala ODonovan
9.40.1.7 Why does Blank sometimes not match the empty expression?
9.40.1.1 Finding the general formula for the sequence defined by $u_1 = 1$ and $u_ n+1  = u_n + 1 + \sqrt u_n+3 $

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293232

Let be given sequence $(u_n)$ satisfying: 
$$u_1 = 1, \quad u_{n+1} = u_n + 1 + \sqrt{u_n+3}, \forall n \geq 1.$$ 
I tried 
... 
[difference-equations]
 
asked by minhthien_2016 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5320 Score of 11
answered by yarchik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9469 Score of 3
9.40.1.2 Digits of Pi in colored spiral

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293384

In How to make the digits of  go around in a spiral like this? 
it is described how to plot pi in a spiralform (in my case as binary number): 
... 
[calculus-and-analysis] [graphics] [color] [number-theory] [digit-sequences]
 
asked by ralf_7 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=95575 Score of 9
answered by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 5
9.40.1.3 Why does Mathematica get the infinite sum of this representation of the taylor series of $\cos^2(x)$ wrong?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293210

Bug introduced in 12.0 or earlier, persisting through 13.2 or later 
 
Mathematica correctly identifies this sum as $\cos(x)$: 
... 
[bugs] [series-expansion]
 
asked by Samuel Martineau https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=95508 Score of 9
answered by bmf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85558 Score of 6
9.40.1.4 Searching AnatomyData efficiently

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293374

I really like  AnatomyPlot3D , but find it exceedingly difficult to find Mathematica's terminology for an anatomical structure.  Listing all of them and searching by ... 
[anatomyplot3d]
 
asked by David G. Stork https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9735 Score of 9
9.40.1.5 Making a Scanimation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293204

Scanimations are also known as a barrier grid animation. These work by overlaying a screen with black (or in the gif below, red) bars separated by transparent bars. 
 
The red bar width is an integer ... 
[graphics] [image-processing] [image]
 
asked by Tomi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36939 Score of 8
9.40.1.6 Sum of its parts - replicating a porcelain sculpture of Nuala ODonovan

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293301

1. Introduction 
Nuala ODonovan is an Irish Artist, living and working in Cork. According to her website her research areas are "Irregularities in Patterns in Nature" and "The Geometry ... 
[plotting] [graphics] [graphics3d] [generative-art]
 
asked by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 7
answered by Syed https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81355 Score of 7
9.40.1.7 Why does Blank sometimes not match the empty expression?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=293351

Consider these examples: 
... 
[pattern-matching]
 
asked by user7427029 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=79642 Score of 7
answered by Sjoerd Smit https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=43522 Score of 7