



11, 23, 29, 35, 39, 47, 55, 59, 69, 71, 79, 83, 89, 95, 107, 111, 119, 125, 131, 139, 143, 149, 153, 155, 159, 167, 175, 179, 181, 191, 197, 199, 203, 207, 209, 215, 219, 223, 227, 233, 239, 251, 259, 263, 269, 275, 279, 285, 287, 299, 305, 307, 311, 319, 323
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OFFSET

1,1


COMMENTS

Numbers of the form P1 in increasing order, where P is the sum of a Pythagorean triple. Also P is the perimeter of a Pythagorean triangle. The open triangle represent a triangle instrument and, in general, any musical instrument. Positive integers are musician numbers or dancer number A136002.


LINKS

Table of n, a(n) for n=1..55.
Dallas Symphony Assoc., Dsokids  Triangle instrument.
Epsilones, Pythagoras  Music.
Ron Knott, Pythagorean Triples and Online Calculators.


EXAMPLE

a(1)=11 because 3,4,5 is Pythagorean triple and 3+4+5=12 is the sum of a Pythagorean triple and 11+1=12, then we can write 3+4+5=11+1.


CROSSREFS

Cf. A136001, A136002. Perimeters of Pythagorean triangles: A009096.
Sequence in context: A058340 A138537 A271983 * A054723 A109981 A091367
Adjacent sequences: A135997 A135998 A135999 * A136001 A136002 A136003


KEYWORD

nonn


AUTHOR

Omar E. Pol, Dec 10 2007


EXTENSIONS

Definition corrected by R. J. Mathar, Dec 12 2007
Extended by Ray Chandler, Dec 13 2008


STATUS

approved



