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 A000093 a(n) = floor(n^(3/2)). (Formerly M1344 N0515) 38
 0, 1, 2, 5, 8, 11, 14, 18, 22, 27, 31, 36, 41, 46, 52, 58, 64, 70, 76, 82, 89, 96, 103, 110, 117, 125, 132, 140, 148, 156, 164, 172, 181, 189, 198, 207, 216, 225, 234, 243, 252, 262, 272, 281, 291, 301, 311, 322, 332, 343, 353, 364, 374, 385, 396, 407, 419, 430 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216. 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 Christian G. Bower, Table of n, a(n) for n=0..500 B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216. [Annotated scanned copy] FORMULA a(n) = A077121(n) - 1. [Reinhard Zumkeller, Oct 31 2009] a(n) = floor(n*sqrt(n)). [Arkadiusz Wesolowski, Jun 01 2011] a(n) = A000196(A000578(n)) = A074704(n)+n*A000196(n). [Reinhard Zumkeller, Jun 27 2011] MAPLE Digits := 100: A000093 := n->floor(evalf(n^(3/2))); MATHEMATICA Table[ Floor[ Sqrt[n^3]], {n, 0, 60}] PROG (PARI) a(n)=if(n<0, 0, sqrtint(n^3)) (Haskell) a000093 = a000196 . a000578  -- Reinhard Zumkeller, Jul 11 2014 CROSSREFS Integer part of square root of n^k: A000196 (k=1), this sequence (k=3), A155013 (k=5), A155014 (k=7), A155015 (k=11), A155016 (k=13), A155018 (k=15), A155019 (k=17). Cf. A002821. Cf. A185549. Sequence in context: A192585 A172262 A163516 * A070214 A031210 A287960 Adjacent sequences:  A000090 A000091 A000092 * A000094 A000095 A000096 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from James A. Sellers, May 04 2000 STATUS approved

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Last modified December 18 19:04 EST 2018. Contains 318243 sequences. (Running on oeis4.)