A066662 Shortest leg of a Pythagorean triangle with a hypotenuse of length 5n.

3, 6, 9, 12, 7, 18, 21, 24, 27, 14, 33, 36, 16, 42, 21, 48, 13, 54, 57, 28, 63, 66, 69, 72, 35, 32, 81, 84, 17, 42, 93, 96, 99, 26, 49, 108, 57, 114, 48, 56, 45, 126, 129, 132, 63, 138, 141, 144, 147, 70, 39, 64, 23, 162, 77, 168, 171, 34, 177, 84, 55, 186, 189, 192

Offset

1,1

Comments

a(n) has values in the range from sqrt(10n-1) to 3n (or, slightly weaker but prettier, in the range from 3*sqrt(n) to 3n).

Links

Table of n, a(n) for n=1..64.

Example

a(1)=3 because 3^2+4^2=(5*1)^2; a(2)=6 because 6^2+8^2=(5+2)^2; a(5)=7 since 7^2+24^2=(5*5)^2.

Crossrefs

Cf. A036842, A055527.

Sequence in context: A242088 A103695 A122809 * A329517 A297567 A285402

Adjacent sequences: A066659 A066660 A066661 * A066663 A066664 A066665

Keyword

nonn

Author

Henry Bottomley, Jan 14 2002

Extensions

Offset corrected by Sean A. Irvine, Nov 01 2023

Status

approved