|
| |
|
|
A101931
|
|
Number of primitive Pythagorean triples with hypotenuse < 10^n.
|
|
7
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| 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
|
|
|
REFERENCES
| D. N. Lehmer, Asymptotic Evaluation of Certain Totient Sums, Amer. J. Math. 22, 293-335, 1900.
|
|
|
LINKS
| Eric Weisstein's World of Mathematics, Pythagorean Triple
|
|
|
EXAMPLE
| a(1)=1 because there is one primitive solution (a,b,c) as (3,4,5) with c<10^1.
|
|
|
CROSSREFS
| Cf. A101929, A101930.
Sequence in context: A155649 A184598 A036973 * A041005 A180798 A144453
Adjacent sequences: A101928 A101929 A101930 * A101932 A101933 A101934
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Dec 21, 2004
|
|
|
EXTENSIONS
| More terms from Jan Feitsma and Bart Dopheide (dopheide(AT)fmf.nl), Mar 10 2005
|
| |
|
|
