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 A065733 Largest square <= n^3. 16
 0, 1, 4, 25, 64, 121, 196, 324, 484, 729, 961, 1296, 1681, 2116, 2704, 3364, 4096, 4900, 5776, 6724, 7921, 9216, 10609, 12100, 13689, 15625, 17424, 19600, 21904, 24336, 26896, 29584, 32761, 35721, 39204, 42849, 46656, 50625, 54756, 59049, 63504 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) + A077116(n) = n^3. LINKS Harry J. Smith, Table of n, a(n) for n = 0..1000 FORMULA a(n) = A048760(n^3). n^3 - 2*n^(3/2) <= a(n) <= n^3. - Charles R Greathouse IV, Dec 05 2022 EXAMPLE a(10)=961, as 961=31^2 is the largest square <= 1000 = 10^3. MATHEMATICA Table[Floor[Sqrt[w^3]//N]^2, {w, 1, 50}] PROG (PARI) for (n=0, 1000, a=sqrtint(n^3)^2; write("b065733.txt", n, " ", a)) \\ Harry J. Smith, Oct 28 2009 (PARI) A065733(n)=sqrtint(n^3)^2 \\ M. F. Hasler, Oct 05 2013 (Haskell) a065733 n = head [x | x <- reverse [0.. n^3], a010052 x == 1] -- Reinhard Zumkeller, Oct 10 2013 CROSSREFS Cf. A048760, A000093, A065730-A065741, A087285. Cf. A077115, A077116, A077118, A077121. Sequence in context: A135784 A131069 A016790 * A368245 A212893 A302324 Adjacent sequences: A065730 A065731 A065732 * A065734 A065735 A065736 KEYWORD easy,nonn AUTHOR Labos Elemer, Nov 15 2001 STATUS approved

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Last modified July 12 20:37 EDT 2024. Contains 374252 sequences. (Running on oeis4.)