login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A024155 Number of integer-sided triangles with sides a,b,c, a<b<c, a+b+c=n that are right triangles. 16
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,60

COMMENTS

Also number of right integer triangles with perimeter n having integral inradius. - Reinhard Zumkeller, May 05 2002

Every integer-sided right triangle has integer inradius. If the triple is [p^2-q^2,2pq,p^2+q^2] then inradius = pq-q^2. - Michael Somos, Sep 13 2005

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Incircle.

Eric Weisstein's World of Mathematics, Right Triangle.

R. Zumkeller, Integer-sided triangles

FORMULA

a(n) = A070201(n) - A070205(n) - A070206(n).

CROSSREFS

Cf. A005044, A070093, A070101.

Sequence in context: A010106 A096159 A327166 * A251570 A292241 A332015

Adjacent sequences:  A024152 A024153 A024154 * A024156 A024157 A024158

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 1 12:46 EDT 2020. Contains 334762 sequences. (Running on oeis4.)