fork download
copy 
  1. # sum[n=1..inf]n^2/(n+1)! = e-1
  2. # sum[n=1..inf]n^2/n! = 2e
  3.  
  4. import math
  5.  
  6. a = [1]
  7. p = 1
  8. for i in range(1, 11):
  9. 	p = p * i
  10. 	a.append(p)
  11. print(a)
  12.  
  13. s = 0
  14. t = 0
  15. for i in range(1, 10):
  16. 	s = s + (i*i) / a[i+1]
  17. 	t = t + (i*i) / a[i]
  18. print(s, t, math.e)
  19.  
Success #stdin #stdout 0.13s 14116KB
comments (?)
stdin
copy 
Standard input is empty
stdout
copy 
[1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
1.718279045414462 5.436532738095238 2.718281828459045
https://ideone.com/YHNnlG
Infinite series relating to Euler's number
language:
Python 3 (python  3.12)
created:
1 day ago
visibility:
public

Share or Embed source code

Discover > Sphere Engine API

The brand new service which powers Ideone!

Discover > IDE Widget

Widget for compiling and running the source code in a web browser!