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 A048760 Largest square <= n. 48
 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 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Krassimir T. Atanassov, On Some of Smarandache's Problems, 1999. Henry Bottomley, Illustration of A000196, A048760, A053186. Jose Castillo, Other Smarandache Type Functions: Inferior/Superior Smarandache f-part of x, Smarandache Notions Journal, Vol. 10, No. 1-2-3 (1999), pp. 202-204. Valentina V. Radeva and Krassimir T. Atanassov, On the 40-th and 41-st Smarandache's problems, Notes on Number Theory and Discrete Mathematics, Vol. 4, No. 3 (1998), pp. 101-104. Florentin Smarandache, Only Problems, Not Solutions!, 1993. Michael 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 Sum_{n>=1} (1/a(n) - 1/n) = gamma + zeta(2) (= A345202). - Amiram Eldar, Jun 12 2021 Sum_{n>=1} 1/a(n)^2 = 2*zeta(3) + Pi^4/90. - Amiram Eldar, Aug 15 2022 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 Cf. A000196, A000290, A048761, A345202. 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 February 6 15:04 EST 2023. Contains 360110 sequences. (Running on oeis4.)