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A000603
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Number of nonnegative solutions to x^2 + y^2 <= n^2.
(Formerly M2541 N1004)
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5
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1, 3, 6, 11, 17, 26, 35, 45, 58, 73, 90, 106, 123, 146, 168, 193, 216, 243, 271, 302, 335, 365, 402, 437, 473, 516, 557, 600, 642, 687, 736, 782, 835, 886, 941, 999, 1050, 1111, 1167, 1234, 1297, 1357, 1424, 1491, 1564, 1636, 1703, 1778, 1852, 1931, 2012, 2095
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| H. Gupta, A Table of Values of N_3(t), Proc. National Institute of Sciences of India, 13 (1947), 35-63.
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
| T. D. Noe, Table of n, a(n) for n=0..1000
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PROG
| (Haskell)
a000603 n = length [(x, y) | x <- [0..n], y <- [0..n], x^2 + y^2 <= n^2]
-- Reinhard Zumkeller, Jan 23 2012
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CROSSREFS
| Cf. A000328, A036695.
Sequence in context: A022338 A119639 A107957 * A003453 A011901 A169739
Adjacent sequences: A000600 A000601 A000602 * A000604 A000605 A000606
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from David W. Wilson (davidwwilson(AT)comcast.net), May 22, 2000
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