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A136000 A010814(n) - 1. 2

%I #6 Jul 07 2016 23:48:47

%S 11,23,29,35,39,47,55,59,69,71,79,83,89,95,107,111,119,125,131,139,

%T 143,149,153,155,159,167,175,179,181,191,197,199,203,207,209,215,219,

%U 223,227,233,239,251,259,263,269,275,279,285,287,299,305,307,311,319,323

%N A010814(n) - 1.

%C Numbers of the form P-1 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.

%H Dallas Symphony Assoc., <a href="http://www.dsokids.com/2001/dso.asp?PageID=168">Dsokids - Triangle instrument</a>.

%H Epsilones, <a href="http://www.epsilones.com/imagenes/historia/pitagoras-musica.gif">Pythagoras - Music</a>.

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">Pythagorean Triples and Online Calculators</a>.

%e 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.

%Y Cf. A136001, A136002. Perimeters of Pythagorean triangles: A009096.

%K nonn

%O 1,1

%A _Omar E. Pol_, Dec 10 2007

%E Definition corrected by _R. J. Mathar_, Dec 12 2007

%E Extended by _Ray Chandler_, Dec 13 2008

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