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Centered dodecahedral number









Centered dodecahedral number


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A centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific n is given by


(2n+1)×(5n2+5n+1){displaystyle (2n+1)times (5n^{2}+5n+1)}(2n+1)times(5n^2+5n+1)


The first such numbers are 1, 33, 155, 427, 909, 1661, 2743, 4215, 6137, 8569, … (sequence A005904 in the OEIS).











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