|
Search: id:A113171
|
|
|
| A113171 |
|
Short legs 'A' of exactly 7 primitive Pythagorean triangles. |
|
+0
1
|
|
| 660, 1092, 1140, 1155, 1260, 1320, 1365, 1380, 1428, 1540, 1560, 1740, 1785, 1820, 1860
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
FORMULA
|
a^2+b^2=c^2
|
|
EXAMPLE
|
Examples of triples: 660.779.1021, 660.989.1189, 660.2989.3061, 660.4331.4381, 660.12091.12109, 660.27221.27229, 660.108899.108901
1092.1325.1717, 1092.1595.1933, 1092.6035.6133, 1092.8245.8317, 1092.33115.33133, 1092.74525.74533, 1092.298115.298117
|
|
MATHEMATICA
|
PyphagoreanAs[a_]:=(q={}; k=0; Do[y=(a^2+b^2)^0.5; c=IntegerPart[y]; If[c==y, p=0; If[GCD[a, b, c]==1, AppendTo[q, a.b.c]; k++ ]], {b, a+1, a^2}]; PrependTo[q, k]; q)lst={}; Do[If[PyphagoreanAs[n][[1]]==7, Print[n]; AppendTo[lst, n]], {n, 6*10^2, 2*10^3}]; lst
|
|
CROSSREFS
|
Cf. A056866 Orders of non-solvable groups.. A093006 Referring to the triangle in A093005, sequence contains the least term with maximal number of divisors. A138605 Short legs of more than 3 primitive Pythagorean triangles. A033993 Numbers that are divisible by exactly four different primes.
Sequence in context: A068260 A023294 A067235 this_sequence A014362 A143042 A064261
Adjacent sequences: A113168 A113169 A113170 this_sequence A113172 A113173 A113174
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 25 2008
|
|
|
Search completed in 0.002 seconds
|
