# 125 perfect square

Input interpretation |
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is 125 a perfect square number? |

Result |

125 is not a perfect square number |

Nearest perfect square numbers |

121 | 144 |

Formula for the nth perfect square number |

P(4,n) = n^2 (for positive integers n) |

Generating function for the perfect square numbers |

sum_(n=1)^infinity P(4,n) x^n = (-x^2 – x)/(x – 1)^3 |