The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A343065

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A343065

Side b of integer-sided primitive triangles (a, b, c) whose angle B = 2*C.
(history; published version)

#14 by Peter Luschny at Thu Apr 22 11:26:35 EDT 2021

STATUS

proposed

approved

#13 by Bernard Schott at Thu Apr 22 02:25:34 EDT 2021

STATUS

editing

proposed

#12 by Bernard Schott at Thu Apr 22 02:25:29 EDT 2021

COMMENTS

This sequence is not increasing because a(7) = 15 < a(6) = 56 (A106430).

STATUS

proposed

editing

#11 by Bernard Schott at Fri Apr 16 12:07:48 EDT 2021

STATUS

editing

proposed

#10 by Bernard Schott at Fri Apr 16 12:03:44 EDT 2021

COMMENTS

Equivalently, length of side opposite to the greater of the two angles, one being the double of the other.

MAPLE

if issqr(d) and igcd(a, sqrt(d), c)=1 and abs(a-c)<sqrt(d) and sqrt(d)<a+c then print(bsqrt(d)); end if;

CROSSREFS

Cf. A106420 (sides b sorted on perimeter), A106430 (sides b in increasing order).

STATUS

approved

editing

Discussion

Fri Apr 16

12:07

Bernard Schott: Typo + 1 comment + xrefs.

#9 by N. J. A. Sloane at Sun Apr 11 23:50:31 EDT 2021

STATUS

proposed

approved

#8 by Bernard Schott at Sun Apr 11 18:12:59 EDT 2021

STATUS

editing

proposed

#7 by Bernard Schott at Sun Apr 11 18:12:23 EDT 2021

MAPLE

end do;

STATUS

proposed

editing

#6 by Bernard Schott at Sun Apr 11 18:09:33 EDT 2021

STATUS

editing

proposed

#5 by Bernard Schott at Sun Apr 11 18:08:28 EDT 2021

DATA

6, 12, 20, 30, 42, 56, 15, 72, 90, 110, 132, 35, 156, 182, 210, 240, 63, 28, 272, 306, 342, 40, 380, 99, 420, 462, 506, 552, 143, 600, 70, 650, 702, 756, 45, 195, 88, 812, 870, 930, 992, 255, 1056, 1122, 130, 1190, 1260, 77, 323, 1332, 154, 1406, 1482, 1560, 399, 1640, 1722, 66, 1806, 208, 1892, 117, 483, 1980, 2070, 238

EXAMPLE

c < a < b for the smallest side b = 6 with first triple (5, 6, 4) with b = 6.