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Search: id:A057653
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| A057653 |
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Odd numbers of form x^2+y^2. |
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+0
1
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| 1, 5, 9, 13, 17, 25, 29, 37, 41, 45, 49, 53, 61, 65, 73, 81, 85, 89, 97, 101, 109, 113, 117, 121, 125, 137, 145, 149, 153, 157, 169, 173, 181, 185, 193, 197, 205, 221, 225, 229, 233, 241, 245, 257, 261, 265, 269, 277, 281, 289, 293, 305, 313, 317, 325, 333, 337
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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J. H. Conway, E. M. Rains and N. J. A. Sloane, On the existence of similar sublattices, Canad. J. Math. 51 (1999), 1300-1306 (Abstract, pdf, ps).
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FORMULA
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n = odd square * {product of distinct primes == 1 (mod 4)}.
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MAPLE
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readlib(issqr): for n from 1 to 1001 by 2 do for k from 0 to floor(sqrt(n)) do if issqr(n-k^2) then printf(`%d, `, n); break fi; od:od:
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CROSSREFS
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Odd members of A001481.
Sequence in context: A004958 A088346 A098109 this_sequence A085759 A032493 A125018
Adjacent sequences: A057650 A057651 A057652 this_sequence A057654 A057655 A057656
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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), Oct 15 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Oct 16 2000
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