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Squares of the Fibonacci numbers

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The squares of the Fibonacci numbers are, you guessed it, the Fibonacci numbers squared. Given a Fibonacci number , observe that

For example, and

Sequences

A007598 Squared Fibonacci numbers: where A000045

{0, 1, 1, 4, 9, 25, 64, 169, 441, 1156, 3025, 7921, 20736, 54289, 142129, 372100, 974169, 2550409, 6677056, 17480761, 45765225, 119814916, 313679521, 821223649, 2149991424, ...}

See also