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A048760 Largest square <= n. 43
0, 1, 1, 1, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 16, 16, 16, 16, 16, 16, 16, 16, 16, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

K. Atanassov, On the 40th and 41st Smarandache Problems, Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria, Vol. 4 (1998), No. 3, 101-104.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

K. Atanassov, On Some of Smarandache's Problems

H. Bottomley, Illustration of A000196, A048760, A053186 F. Smarandache, Only Problems, Not Solutions!

J. Castillo, Other Smarandache Type Functions: Inferior/Superior Smarandache f-part of x, Smarandache Notions Journal, Vol. 10, No. 1-2-3, 1999, 202-204.

M. Somos, Sequences used for indexing triangular or square arrays

FORMULA

a(n) = floor(n^(1/2))^2 = A000290(A000196(n)). - Reinhard Zumkeller, Feb 12 2012, Sep 03 2002

n^2 repeated (2n+1) times, n=0,1,... - Zak Seidov, Oct 25 2008

MAPLE

A048760 := proc(n)

    floor(sqrt(n)) ;

    %^2 ;

end proc: # R. J. Mathar, May 19 2016

MATHEMATICA

Array[Floor[Sqrt[#]]^2&, 80, 0] (* Harvey P. Dale, Mar 30 2012 *)

PROG

(Haskell)

a048760 = (^ 2) . a000196  -- Reinhard Zumkeller, Feb 12 2012

(PARI) a(n) = sqrtint(n)^2; \\ Michel Marcus, Jun 06 2015

CROSSREFS

Sequence in context: A108893 A162281 A262690 * A287392 A035627 A228423

Adjacent sequences:  A048757 A048758 A048759 * A048761 A048762 A048763

KEYWORD

nonn,easy,look

AUTHOR

Charles T. Le (charlestle(AT)yahoo.com)

STATUS

approved

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Last modified January 20 23:20 EST 2019. Contains 319342 sequences. (Running on oeis4.)