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Search: id:A000050
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| A000050 |
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Number of positive integers <= 2^n of form x^2 + y^2.
(Formerly M0715 N0265)
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+0
2
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| 1, 2, 3, 5, 9, 16, 29, 54, 97, 180, 337, 633, 1197, 2280, 4357, 8363, 16096, 31064, 60108, 116555, 226419, 440616, 858696, 1675603, 3273643, 6402706, 12534812, 24561934, 48168461, 94534626, 185661958, 364869032, 717484560, 1411667114, 2778945873, 5473203125
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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P. Moree and H. J. J. te Riele, The hexagonal versus the square lattice, Math. Comp. 73 (2004), no. 245, 451-473.
D. Shanks and L. P. Schmid, Variations on a theorem of Landau. Part I, Math. Comp., 20 (1966), 551-569.
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
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P. Moree and H. J. J. te Riele, The hexagonal versus the square lattice
Index entries for sequences related to populations of quadratic forms
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CROSSREFS
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Sequence in context: A000691 A103285 A000049 this_sequence A050253 A107250 A050168
Adjacent sequences: A000047 A000048 A000049 this_sequence A000051 A000052 A000053
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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