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A002821 a(n) = nearest integer to n^(3/2).
(Formerly M2437 N0964)
5
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

MAPLE

[ seq(round(eval(n^(3/2))), n=0..100) ];

MATHEMATICA

t[n_]:=Module[{flt=Floor[n], cet=Ceiling[n]}, If[n-flt<cet-n, flt, cet]]; t/@(Range[0, 60]^((3/2))) (* Harvey P. Dale, May 12 2011 *)

PROG

(Haskell)

a002821 = round . sqrt . fromIntegral . (^ 3)

-- Reinhard Zumkeller, Jul 11 2014

CROSSREFS

Cf. A000093.

Sequence in context: A081401 A003311 A108279 * A046992 A001463 A145197

Adjacent sequences:  A002818 A002819 A002820 * A002822 A002823 A002824

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 18 12:10 EDT 2019. Contains 321283 sequences. (Running on oeis4.)