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A101930
Number of Pythagorean triples with hypotenuse <= 10^n.
3
2, 52, 881, 12471, 161436, 1980642, 23471475, 271360653, 3080075432, 34465432859, 381301109919, 4179478903392, 45459467009968, 491241450001328, 5278882299478796, 56453500988940615, 601181789833245631, 6378285697775544230
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Pythagorean Triple
FORMULA
a(n) = A101929(n) + n. - Robert G. Wilson v, Mar 20 2014
PROG
(PARI) a(n)=my(t, lim=10^n); for(m=2, sqrtint(lim-1), forstep(n=1+m%2, min(sqrtint(lim-m^2), m-1), 2, if(gcd(m, n)==1, t+=lim\(m^2+n^2)))); t \\ Charles R Greathouse IV, Sep 13 2012
CROSSREFS
Cf. A101929.
Sequence in context: A053317 A123803 A284767 * A297756 A174779 A215744
KEYWORD
nonn,more
AUTHOR
Eric W. Weisstein, Dec 21 2004
EXTENSIONS
Corrected by Todd Stedl (tstedl(AT)speakeasy.net), Jan 15 2005
More terms from Jan Feitsma and Bart Dopheide (dopheide(AT)fmf.nl), Mar 10 2005
a(10)-a(11) from Charles R Greathouse IV, Sep 14 2012
a(12) from Charles R Greathouse IV, Oct 15 2012
a(13)-a(17) from Hiroaki Yamanouchi, Jul 14 2014
a(18) from Matan M. Atzmoni, Feb 04 2023
STATUS
approved