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A000093
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floor(n^(3/2)).
(Formerly M1344 N0515)
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7
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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; internal format)
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OFFSET
| 0,3
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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).
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LINKS
| Christian G. Bower, Table of n, a(n) for n=0..500
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FORMULA
| a(n) = A077121(n) - 1. [From Reinhard Zumkeller, Oct 31 2009]
a(n) = floor(n*sqrt(n)). [From Arkadiusz Wesolowski, Jun 01 2011]
a(n) = A000196(A000578(n)) = A074704(n)+n*A000196(n). [Reinhard Zumkeller, Jun 27 2011]
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MAPLE
| Digits := 100: A000093 := n->floor(evalf(n^(3/2)));
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MATHEMATICA
| Table[ Floor[ Sqrt[n^3]], {n, 0, 60}]
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PROG
| (PARI) a(n)=if(n<0, 0, sqrtint(n^3))
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CROSSREFS
| Sequence in context: A192585 A172262 A163516 * A070214 A031210 A102795
Adjacent sequences: A000090 A000091 A000092 * A000094 A000095 A000096
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 04 2000
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