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A138605 Short legs of more than 3 primitive Pythagorean triangles. 1
204, 228, 276, 280, 300, 315, 336, 348, 372, 385, 420, 429, 444, 455, 492, 495, 504, 516, 540, 555, 560, 564, 580, 585, 588, 615, 616, 620, 636, 645, 660, 693, 696, 705, 708, 715, 720, 732, 735, 740, 744, 765, 780, 792, 795, 804, 819, 820 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

Some examples:

444,1333,1405; 444,5467,5485; 444,12317,12325; 444,49283,49285;

429, 460, 629; 429, 700, 821; 429,10220,10229; 429,92020,92021;

420, 851, 949; 420,1189,1261; 420, 1739, 1789; 420,4891,4909; 420,11021,11029; 420,44099,44101;

385,552,673; 385,1488,1537; 385,2952,2977; 385,74112,74113;

372,925,997; 372,3835,3853; 372,8645,8653; 372,34595,34597;

348,805,877; 348,3355,3373; 348,7565,7573; 348,30275,30277;

336,377,505; 336,527,625; 336,3127,3145; 336,28223,28225;

315,572,653; 315,988,1037; 315,1972,1997; 315,49612,49613;

300,589,661; 300,2491,2509; 300,5621,5629; 300,22499,22501;

280,351,449; 280,759,809; 280,1209,1241; 280,19599,19601;

276,493,565; 276,2107,2125; 276,4757,4765; 276,19043,19045;

228,325,397; 228,1435,1453; 228,3245,3253; 228,12995,12997;

204,253,325; 204,1147,1165; 204,2597,2605; 204,10403,10405;...

MATHEMATICA

lst={}; aa=aaa=aaaa=1; For[ a=204, a<=10^3-100, For[ b=a+1, ((b+1)^2-b^2)<=a^2, c=(a^2+b^2)^0.5; If[ c==Round[ c ]&&GCD[ a, b ]==1, If[ a==aaaa, Print[ a ]; AppendTo[ lst, a ] ]; aaaa=aaa; aaa=aa; aa=a; ]; b=b+2 ]; a++ ]; Union[ lst ]

CROSSREFS

Sequence in context: A198722 A198913 A224983 * A260975 A271643 A108877

Adjacent sequences:  A138602 A138603 A138604 * A138606 A138607 A138608

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 13 2008, revised Apr 20 2010

STATUS

approved

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Last modified April 18 14:31 EDT 2019. Contains 322209 sequences. (Running on oeis4.)