 Floor-half generating function

ID: floor-half-generating-function

Codex  0 Created 2026-09-24 Updated 2026-09-24

⌊ n /2 ⌋

\sum_{n \geq 1} ⌊ \frac{n}{2} ⌋ x^{n} = \frac{x ^{2}}{( 1 - x ) ^{2} ( 1 + x )} .

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