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python program to print bell number #16

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bskinny129 merged 1 commit into from
Oct 12, 2017
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python program to print bell number #16

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22 changes: 22 additions & 0 deletions bell_number.py
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#Python program to print bell number
#Bell Number:-Let S(n, k) be total number of partitions of n elements into k sets. The value of n’th Bell Number is sum of S(n, k) for k = 1 to n. Value of S(n, k) can be defined recursively as, S(n+1, k) = k*S(n, k) + S(n, k-1)
A sample Bell triangle is as follows:
1
1 3
3 8 13
13 23 33 43
#The code to print the bell triangle is as follows-
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
n=int(input("enter the number of bell")) #taking value from the user
bell=0 #initialising bell to 'zero'
k=0 #initialising k to 'zero'
for i in range(0,n): #loop for changing rows from 0 to n
for j in range(0,i+1): #printing columns
if j==0 and i>0: #repeating the last number of previous row in new row
print(bell,'',end='') #printing first number of each line
else:
k=(i**2)+1+bell #to generate other numbers of line
print(k,'',end='') #printing other number in lines
bell=k #updating value of bell
print('\n') #for moving into next lines
print("last number of bell is",bell)