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Revision History for A070109

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Showing entries 1-10 | older changes
A070109 Number of right integer triangles with perimeter n and relatively prime side lengths.
(history; published version)
#19 by Susanna Cuyler at Tue Oct 05 10:59:10 EDT 2021
STATUS

proposed

#18 by Michel Marcus at Mon Oct 04 10:20:17 EDT 2021
STATUS

editing

#17 by Michel Marcus at Mon Oct 04 10:20:10 EDT 2021
LINKS

R. Zumkeller, <a href="/A070080/a070080.txt">Integer-sided triangles</a>

STATUS

proposed

#16 by Jean-François Alcover at Mon Oct 04 09:36:20 EDT 2021
STATUS

editing

#15 by Jean-François Alcover at Mon Oct 04 09:36:11 EDT 2021
MATHEMATICA

STATUS

approved

#14 by N. J. A. Sloane at Mon Oct 09 00:03:48 EDT 2017
STATUS

proposed

#13 by Jon E. Schoenfield at Sun Oct 08 04:32:30 EDT 2017
STATUS

editing

#12 by Jon E. Schoenfield at Sun Oct 08 04:32:23 EDT 2017
FORMULA

a(n) = A051493(n)-A070094(n)-A070102(n).

EXAMPLE

For n=30 there are A005044(30) = 19 integer triangles; only one is right: 5+12+13=30, 5^2+12^2 = 13^2; therefore a(30) = 1.

STATUS

proposed

#11 by Michel Marcus at Sun Oct 08 01:38:56 EDT 2017
STATUS

editing

Discussion
Sun Oct 08 02:39
Antti Karttunen: Yes. As usual, Zumkeller's formulas are often found from the Comments-section.
#10 by Michel Marcus at Sun Oct 08 01:38:44 EDT 2017
COMMENTS

a(n) <= A024155(n); a(n) = A051493(n)-A070094(n)-A070102(n);

right integer triangles have integer areas: see A070142, A051516.

FORMULA

STATUS

proposed

Discussion
Sun Oct 08 01:38
Michel Marcus: ok like this ?

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Last modified August 28 04:58 EDT 2024. Contains 375477 sequences. (Running on oeis4.)