Centered icosahedral number

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A centered icosahedral number is a centered figurate number that represents an icosahedron. The centered icosahedral number for a specific n is given by

(2n+1)\times{(5n^2+5n+3) \over 3}

The first such numbers are 1, 13, 55, 147, 309, 561, 923, 1415, 2057, 2869, 3871, 5083, 6525, 8217, … (sequence A005902 in OEIS).

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