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  1. # sum[n=1..inf]n^2/(n-1)! = 5e
  2. # sum[n=1..inf]n^2/(n+1)! = e-1
  3. # sum[n=1..inf]n^2/n! = 2e
  4.  
  5. import math
  6.  
  7. a = [1]
  8. p = 1
  9.  
  10. for i in range(1, 11):
  11. 	p = p * i
  12. 	a.append(p)
  13.  
  14. print(a)
  15.  
  16. r = 0
  17. s = 0
  18. t = 0
  19.  
  20. for i in range(1, 10):
  21. 	r = r + (i*i) / a[i-1]
  22. 	s = s + (i*i) / a[i+1]
  23. 	t = t + (i*i) / a[i]
  24.  
  25. print(r, s, t)
  26. print(math.e)
  27.  
Success #stdin #stdout 0.11s 14100KB
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stdout
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[1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
13.59109623015873 1.718279045414462 5.436532738095238
2.718281828459045
https://ideone.com/nNAzVo
Followed by one continuous idea
language:
Python 3 (python  3.12)
created:
1 day ago
visibility:
public

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