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A065731 Greatest perfect square that does not exceed n!. 3
1, 1, 1, 4, 16, 100, 676, 4900, 40000, 362404, 3625216, 39904489, 478996996, 6226945921, 87177877081, 1307672296225, 20922784184449, 355687416544329, 6402373660047556, 121645099966283776, 2432902006216007824, 51090942169052381124, 1124000727752683686724 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..100

FORMULA

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

MATHEMATICA

Array[Floor@ Sqrt[#!]^2 &, 21, 0] (* Michael De Vlieger, Dec 06 2018 *)

PROG

(PARI) { for (n=0, 100, a=sqrtint(n!)^2; write("b065731.txt", n, " ", a) ) } \\ Harry J. Smith, Oct 28 2009

(MAGMA) [Floor(Sqrt(Factorial(n)))^2: n in [0..25]]; // Vincenzo Librandi, Dec 07 2018

CROSSREFS

a(n) = A048760(A000142(n)).

Cf. A048760, A000142, A065730-A065741.

Sequence in context: A121142 A318693 A087296 * A074187 A111883 A245155

Adjacent sequences:  A065728 A065729 A065730 * A065732 A065733 A065734

KEYWORD

easy,nonn

AUTHOR

Labos Elemer, Nov 15 2001

EXTENSIONS

Offset changed from 1 to 0 by Harry J. Smith, Oct 28 2009

STATUS

approved

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Last modified January 23 13:57 EST 2022. Contains 350511 sequences. (Running on oeis4.)