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A147847 Concerning hypotenuses of triangles such that the sum of the two legs is a perfect square. 2

%I #8 Feb 05 2013 09:07:21

%S 2,3,4,4,5,6,5,6,7,8,7,7,8,9,8,10,8,9,10,9,11,12,10,11,10,13,11,14,11,

%T 12,11,13,12,14,15,12,16,13,14,13,13,15,13,16,17,18,14,14,14,16,15,17,

%U 16,19,20,15,17,16,18,16,19,17,16

%N Concerning hypotenuses of triangles such that the sum of the two legs is a perfect square.

%C The sequence of b's considered in A145906.

%C A094192 is apparently derived by sorting into natural order.

%H M. de Frenicle, <a href="http://gallica.bnf.fr/ark:/12148/bpt6k5493994j/">Methode pour trouver la solutions des problemes par les exclusions</a>, in: Divers ouvrages de mathematiques et de physique par messieurs de l'academie royale des sciences, (1693) pp 1-44, table on page 31.

%e (a,b,c,d,e,f,g,h) = (1,2,1,3,1,5,4,9) with N=7 or (1,3,2,5,7,13,6,19) with N=17 or (3,4,1,5,7,17,10,27) with N=23 or (1,4,3,7,17,25,8,33) with N=31.

%Y Cf. A143732.

%K nonn,uned,obsc

%O 0,1

%A _Paul Curtz_, Nov 15 2008

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