A036842 Smallest leg in right triangle with relatively prime sides and hypotenuse 5^n.

3, 7, 44, 336, 237, 10296, 16124, 164833, 922077, 1476984, 34182196, 32125393, 597551756, 2465133864, 6890111163, 98248054847, 42744511676, 2114245277767, 6358056037323, 28515500892816, 278471369994004

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..21.

Zak Seidov Triggeom, see item 29.

Mathematica

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

Crossrefs

Cf. A067312.

Sequence in context: A354428 A328690 A019011 * A267844 A359046 A041349

Adjacent sequences: A036839 A036840 A036841 * A036843 A036844 A036845

Keyword

nonn

Author

Zak Seidov, Jan 13 2002

Extensions

Edited by Dean Hickerson, Jan 14, 2002

Status

approved