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A066662 Shortest leg of a Pythagorean triangle with a hypotenuse of length 5n. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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=0..63.

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

STATUS

approved

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Last modified June 1 03:14 EDT 2020. Contains 334758 sequences. (Running on oeis4.)