A067312 Largest leg in right triangle with relatively prime sides and hypotenuse 5^n.

4, 24, 117, 527, 3116, 11753, 76443, 354144, 1721764, 9653287, 34867797, 242017776, 1064447283, 5583548873, 29729597084, 116749235904, 761741108157, 3175197967656, 17982575014036, 91004468168113

Offset

1,1

Comments

If (3+4i)^n = r+si, then a(n) is the maximum of |r| and |s|.

Links

Table of n, a(n) for n=1..20.

Mathematica

a[n_] := Max[Abs[Re[(3+4I)^n]], Abs[Im[(3+4I)^n]]]

Crossrefs

Cf. A036842.

Sequence in context: A295547 A270451 A037132 * A017976 A002011 A270462

Adjacent sequences: A067309 A067310 A067311 * A067313 A067314 A067315

Keyword

nonn

Author

Dean Hickerson, Jan 14, 2002

Status

approved