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Centered pentagonal number
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for n is given by the formula
The first few centered pentagonal numbers are
The parity of centered pentagonal numbers follows the pattern even-even-odd-odd, and in base 10 one can notice the one's digits follows the pattern 6-6-1-1.
See also regular pentagonal number.
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