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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

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

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

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 December 16 17:18 EST 2009. Contains 170825 sequences.


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