Nonagonal number

[1] However, unlike the triangular and square numbers, the patterns involved in the construction of nonagonal numbers are not rotationally symmetrical.

Specifically, the nth nonagonal number counts the dots in a pattern of n nested nonagons, all sharing a common corner, where the ith nonagon in the pattern has sides made of i dots spaced one unit apart from each other.

denote the nth nonagonal number, and using the formula

for the nth triangular number, If x is an integer, then n is the x-th nonagonal number.

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