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 A002821 a(n) = nearest integer to n^(3/2). (Formerly M2437 N0964) 6
 0, 1, 3, 5, 8, 11, 15, 19, 23, 27, 32, 36, 42, 47, 52, 58, 64, 70, 76, 83, 89, 96, 103, 110, 118, 125, 133, 140, 148, 156, 164, 173, 181, 190, 198, 207, 216, 225, 234, 244, 253, 263, 272, 282, 292, 302, 312, 322, 333, 343, 354, 364, 375, 386, 397 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES M. Boll, Tables Numériques Universelles. Dunod, Paris, 1947, p. 46. M. Hall, Jr., The Diophantine equation x^3-y^2=k, pp. 173-198 of A. O. L. Atkin and B. J. Birch, editors, Computers in Number Theory. Academic Press, NY, 1971. A. V. Lebedev and R. M. Fedorova, A Guide to Mathematical Tables. Pergamon, Oxford, 1960, p. 17. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 0..1000 FORMULA a(n) = floor(n^(3/2) + 1/2). - Ridouane Oudra, Nov 13 2019 a(n) = sqrt(A077118(n)). - Chai Wah Wu, Jul 30 2022 MAPLE [ seq(round(eval(n^(3/2))), n=0..100) ]; MATHEMATICA t[n_]:=Module[{flt=Floor[n], cet=Ceiling[n]}, If[n-flt=1) # Chai Wah Wu, Jul 30 2022 CROSSREFS Cf. A000093, A077118. Sequence in context: A081401 A003311 A108279 * A046992 A001463 A145197 Adjacent sequences: A002818 A002819 A002820 * A002822 A002823 A002824 KEYWORD nonn,easy,nice AUTHOR STATUS approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)