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Search: id:A101931
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| A101931 |
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Number of primitive Pythagorean triples with hypotenuse < 10^n. |
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+0
8
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| 1, 16, 158, 1593, 15919, 159139, 1591579, 15915492, 159154994
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The ratio a(n)/10^n as n->inf is 1/(2*pi) = 0.15915... (Lehmer). - Tito Piezas III (tpiezas(AT)gmail.com), Aug 11 2006
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REFERENCES
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D. N. Lehmer, Asymptotic Evaluation of Certain Totient Sums, Amer. J. Math. 22, 293-335, 1900.
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LINKS
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Eric Weisstein's World of Mathematics, Pythagorean Triple
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EXAMPLE
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a(1)=1 because there is one primitive solution (a,b,c) as (3,4,5) with c<10^1.
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CROSSREFS
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Cf. A101929, A101930.
Sequence in context: A144499 A155649 A036973 this_sequence A041005 A144453 A121036
Adjacent sequences: A101928 A101929 A101930 this_sequence A101932 A101933 A101934
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Dec 21, 2004
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EXTENSIONS
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More terms from Jan Feitsma and Bart Dopheide (dopheide(AT)fmf.nl), Mar 10 2005
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