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A000093 [ n^(3/2) ].
(Formerly M1344 N0515)
+0
5
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; listen)
OFFSET

0,3

COMMENT

a(n) = A077121(n) - 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 31 2009]

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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.

LINKS

Christian G. Bower, Table of n, a(n) for n=0..500

MAPLE

Digits := 100: A000093 := n->floor(evalf(n^(3/2)));

MATHEMATICA

Table[ Floor[ Sqrt[n^3]], {n, 1, 60}]

PROGRAM

(PARI) a(n)=if(n<0, 0, sqrtint(n^3))

CROSSREFS

Sequence in context: A165334 A135677 A163516 this_sequence A070214 A031210 A102795

Adjacent sequences: A000090 A000091 A000092 this_sequence A000094 A000095 A000096

KEYWORD

nonn,easy,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 04 2000

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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