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A204559
Four times the area of the smallest of n-tuples of Heronian triangles with equal perimeter and equal area.
2
24, 840, 1680, 26880, 196560, 786240, 19656000, 365601600, 1392431040, 19061602560, 68229120960, 272916483840
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OFFSET
1,1
COMMENTS
Kurz's paper reports the first 10 values in a table on page 193, (erroneously labeling them as areas), but the last two values are incorrect since correspond to n-tuples which are not minimal.
LINKS
Table of n, a(n) for n=1..12.
Sascha Kurz,
On the generation of Heronian triangles
, Serdica Journal of Computing Vol. 2 (2008), 181-196.
EXAMPLE
The first 3 entries and corresponding triangles:
a(1) = 4*A = 4*6 = 24, p = 12, T = (3, 4, 5);
a(2) = 4*A = 4*210 = 840, p = 70, T = (17, 25, 28), (20, 21, 29);
a(3) = 4*A = 4*420 = 1680, p = 98, T = (24, 37, 37), (25, 34, 39), (29, 29, 40).
CROSSREFS
Cf.
A198311
(perimeters),
A334285
(areas).
Sequence in context:
A275635
A158651
A265884
*
A078522
A268632
A208792
Adjacent sequences:
A204556
A204557
A204558
*
A204560
A204561
A204562
KEYWORD
nonn
,
hard
,
more
AUTHOR
Peter Luschny
, Jan 21 2012
EXTENSIONS
Name edited, a(9)-a(10) corrected and a(11)-a(12) added by
Giovanni Resta
, Apr 21 2020
STATUS
approved
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Last modified September 7 01:23 EDT 2024. Contains 375728 sequences. (Running on oeis4.)