The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A006339 Least hypotenuse of n distinct Pythagorean triangles. 25
 1, 5, 25, 125, 65, 3125, 15625, 325, 390625, 1953125, 1625, 48828125, 4225, 1105, 6103515625, 30517578125, 40625, 21125, 3814697265625, 203125, 95367431640625, 476837158203125, 5525, 11920928955078125, 274625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Ray Chandler, Table of n, a(n) for n = 0..1438 (a(1439) exceeds 1000 digits). Eric Weisstein's World of Mathematics, Circle Lattice Points Eric Weisstein's World of Mathematics, Pythagorean Triple MATHEMATICA oneModFourPrimes[1] = 5; oneModFourPrimes[n_] := oneModFourPrimes[n] = NestWhile[NextPrime, NextPrime[oneModFourPrimes[n - 1]], Mod[#, 4] != 1 & ]; factorizations[1, limit_] = {{}}; factorizations[n_, limit_] := factorizations[n, limit] = Join @@ Table[Prepend[#, d]& /@ factorizations[n/d, d], {d, Select[Rest[Divisors[n]], # <= limit & ]}]; leastHypotenuse[n_] := Min[(Times @@ (Array[oneModFourPrimes, Length[#]]^((# - 1)/2)) & ) /@ factorizations[2*n + 1, 2*n + 1]]; Array[leastHypotenuse, 30, 0] (* Albert H. Mao, Jan 06 2012 *) CROSSREFS Except for offset, same as A046112. Sequence in context: A299958 A036156 A097756 * A046112 A032534 A036151 Adjacent sequences:  A006336 A006337 A006338 * A006340 A006341 A006342 KEYWORD nonn AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 11:11 EST 2020. Contains 338720 sequences. (Running on oeis4.)