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Search: id:A003585
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| A003585 |
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Odd numbers that are not of the form x^2+y^2+10*z^2. |
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+0
1
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| 3, 7, 21, 31, 33, 43, 67, 79, 87, 133, 217, 219, 223, 253, 307, 391, 679, 2719
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Under GRH, all odd numbers that might possibly be of form x^2+y^2+10*z^2 but aren't.
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REFERENCES
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K. Ono, Ramanujan's ternary quadratic form, Abstract 914-11-96, Abstracts Amer. Math. Soc., 17 (1996), 476.
K. Ono, Ramanujan, taxicabs, birthdates, ZIP codes and twists, Amer. Math. Monthly, 104 (1997), 912-917.
K. Ono, Honoring a gift from Kumbakonam, Notices Amer. Math. Soc., 53 (2006), 640-651.
S. Ramanujan, Coll. Papers, p. 172.
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LINKS
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Ben Kane, Representing Sets With Sums Of Triangular Numbers [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Oct 01 2009]
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CROSSREFS
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Adjacent sequences: A003582 A003583 A003584 this_sequence A003586 A003587 A003588
Sequence in context: A018479 A090504 A018548 this_sequence A108102 A065523 A046528
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KEYWORD
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nonn,fini,full,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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