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    Centered Cube Number

    Definition

    A figurate number of the form, CCub_n = n^3 + (n - 1)^3 = (2n - 1)(n^2 - n + 1). The first few are 1, 9, 35, 91, 189, 341, ... (OEIS A005898). The generating function for the centered cube numbers is (x(x^3 + 5x^2 + 5x + 1))/(x - 1)^4 = x + 9x^2 + 35x^3 + 91x^4 + ....

    Related term

    cubic number

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