

A108615


3column rectangular array of nearright acute triangles.


1



4, 7, 8, 8, 9, 12, 7, 11, 13, 6, 17, 18, 11, 13, 17, 10, 15, 18, 9, 19, 21, 14, 17, 22, 13, 19, 23, 17, 21, 27, 16, 23, 28, 8, 31, 32, 11, 29, 31, 15, 26, 30, 20, 25, 32, 14, 31, 34, 19, 27, 33, 17, 34, 38, 23, 29, 37, 22, 31, 38, 13, 41, 43, 16, 41, 44, 26, 33, 42, 25, 35, 43, 10
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..72.


FORMULA

Row n is the nth triple (a, b, c), in order of increasing perimeter a+b+c and increasing a, such that a < b < c and a^2 + b^2  c^2 = 1.


EXAMPLE

First five triples:
4,7,8 (a + b + c = 19; 16 + 49  64 = 1)
8,9,12 (a + b + c = 29; 64 + 81  144 = 1)
7,11,13 (a + b + c = 31)
6,17,18 (a + b + c = 41)
11,13,17 (a + b + c = 41)


CROSSREFS

Cf. A108616.
Sequence in context: A261654 A121488 A115291 * A310937 A090383 A179620
Adjacent sequences: A108612 A108613 A108614 * A108616 A108617 A108618


KEYWORD

nonn,tabl


AUTHOR

Clark Kimberling, Jun 12 2005


STATUS

approved



