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A263727 Largest square number less than or equal to the n-th Fibonacci number. 0
0, 1, 1, 1, 1, 4, 4, 9, 16, 25, 49, 81, 144, 225, 361, 576, 961, 1521, 2500, 4096, 6724, 10816, 17689, 28561, 46225, 74529, 121104, 196249, 316969, 514089, 831744, 1345600, 2175625, 3523129, 5702544, 9223369, 14922769, 24157225, 39087504, 63234304, 102333456 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..40.

FORMULA

a(n) = floor(sqrt(Fibonacci(n)))^2.

a(n) = A061287(n)^2. - Michel Marcus, Oct 25 2015

a(n) = A048760(A000045(n)). - Michel Marcus, Nov 11 2015

EXAMPLE

For a(8), Fibonacci(8) = 21, the largest square under 21 is 16, so a(8) = 16.

MATHEMATICA

Floor[Sqrt[Fibonacci[Range[40]]]]^2 (* Alonso del Arte, Oct 24 2015 *)

PROG

(PARI) a(n) = sqrtint(fibonacci(n))^2; \\ Michel Marcus, Oct 25 2015

CROSSREFS

Cf. A000045, A048760, A061287.

Sequence in context: A226096 A071567 A304990 * A133037 A061886 A059815

Adjacent sequences:  A263724 A263725 A263726 * A263728 A263729 A263730

KEYWORD

nonn,easy

AUTHOR

Eli Jaffe, Oct 24 2015

STATUS

approved

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Last modified October 27 22:49 EDT 2020. Contains 338043 sequences. (Running on oeis4.)