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A004144
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Nonhypotenuse numbers (squares are not sums of 2 distinct nonzero squares).
(Formerly M0542)
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14
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1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 19, 21, 22, 23, 24, 27, 28, 31, 32, 33, 36, 38, 42, 43, 44, 46, 47, 48, 49, 54, 56, 57, 59, 62, 63, 64, 66, 67, 69, 71, 72, 76, 77, 79, 81, 83, 84, 86, 88, 92, 93, 94, 96, 98, 99, 103, 107, 108, 112, 114, 118, 121, 124, 126, 127
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also numbers with no prime factors of form 4*k+1.
m is a term iff A072438(m) = m.
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REFERENCES
| S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 98-104.
D. Shanks, Non-hypotenuse numbers, Fib. Quart., 13 (1975), 319-321.
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=1..1000
S. R. Finch, Landau-Ramanujan Constant
Eric Weisstein's World of Mathematics, Pythagorean Triple
Index entries for sequences related to sums of squares
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MATHEMATICA
| fQ[n_] := If[n > 1, First@ Union@ Mod[ First@# & /@ FactorInteger@ n, 4] != 1, True]; Select[ Range@ 127, fQ]
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CROSSREFS
| Complement of A009003.
Sequence in context: A004439 A050126 A013939 * A124391 A200381 A050118
Adjacent sequences: A004141 A004142 A004143 * A004145 A004146 A004147
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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 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2002
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