A143732 Concerning hypotenuses of triangles such that the sum of the two legs is a perfect square.

1, 1, 3, 1, 3, 5, 1, 1, 5, 7, 3, 1, 5, 7, 3, 9, 1, 5, 7, 1, 9, 11, 3, 7, 1, 11, 5, 13, 3, 7, 1, 9, 5, 11, 13, 1, 15, 7, 9, 5, 3, 11, 1, 13, 15, 17, 5, 3, 1, 11, 7, 13, 9, 17, 19, 1, 11, 7, 13, 5, 15, 9, 3

Offset

1,3

Comments

The sequence of a's considered in A145906.

Links

Table of n, a(n) for n=1..63.

M. de Frenicle, Methode pour trouver la solutions des problemes par les exclusions, in: Divers ouvrages de mathematiques et de physique par messieurs de l'academie royale des sciences, (1693) pp 1-44, Table on page 31.

Example

(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.

Crossrefs

Sequence in context: A076157 A087493 A118125 * A130465 A348417 A356663

Adjacent sequences: A143729 A143730 A143731 * A143733 A143734 A143735

Keyword

nonn,uned

Author

Paul Curtz, Aug 30 2008

Status

approved