|
Search: id:A099799
|
|
|
| A099799 |
|
a(n) = least integer that begins a run of exactly n consecutive integers that can be the hypotenuse of a Pythagorean triangle. |
|
+0
2
|
|
| 5, 25, 39, 50, 218, 775, 949, 673, 403, 1597, 2190, 2820, 6050, 8577, 12423, 27325, 34075, 52754, 37088, 74649, 68150, 43795, 106368, 102227, 225809, 149297, 87594, 694398, 820953, 575377, 741617, 776230, 169160, 2218014
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
a(35), a(37), a(38)>3*10^6; a(36)=2906397, a(39)=1884817.
|
|
MATHEMATICA
|
lmt = 5*10^6; hyp = {5}; Do[ mn = m^2 + n^2; hyp = Join[hyp, Table[k*mn, {k, Floor[lmt/mn]}]]; hyp = Union[hyp], {n, 2, Floor[ Sqrt[lmt]]}, {m, Min[n - 1, Floor[ Sqrt[ lmt - n^2]]]}]; f[n_] := Block[{k = 1}, While[ phk[[k]] + n - 1 != phk[[k + n - 1]], k++ ]; phk[[k]]]; Do[ Print[ f[n]], {n, 34}
|
|
CROSSREFS
|
Least integer that begins a run of at least n consecutive integers that can be the hypotenuse of a Pythagorean triangle is given by A098993.
Sequence in context: A018724 A070389 A098993 this_sequence A093534 A070388 A056872
Adjacent sequences: A099796 A099797 A099798 this_sequence A099800 A099801 A099802
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Ray Chandler (rayjchandler(AT)sbcglobal.net) and Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 10 2004
|
|
|
Search completed in 0.002 seconds
|
