#Pentagonal numbers are generated by the formula, Pn=n(3n−1)/2. The first ten pentagonal numbers are: # 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, ... #It can be seen that P4 + P7 = 22 + 70 = 92 = P8.
Abstract: In 1960 Leonhard Euler gave rigorous proof of an efficient calculation using the recurrence of partition numbers. Since the power of the variables in the recurrence is the pentagonal numbers ...
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