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Search: id:A095267
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| A095267 |
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Least perimeter common to 2^n primitive arithmetic triangles, i.e. Heronian triangles whose sides are in arithmetic progression. |
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+0
3
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| 12, 84, 1092, 20748, 643188, 23797956, 1023312108, 62422038588, 4182276585396, 305306190733908, 24119189067978732, 2339561339593937004, 240974817978175511412, 26266255159621130743908
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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K. S. Brown, Highly Heronian Ellipses
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FORMULA
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a(n) = 3*A095288(n) = a(n-1)*A002476(n). - Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 09 2004
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EXAMPLE
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1092 is the perimeter common to the 2^2=4 arithmetic triangles (183,364,545),(185,364,543),(257,364,471),(303,364,425) having common differences 181,179,107,61 and areas 6006,10376,46410,54054 respectively.(Middle side the same in all triangles).
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CROSSREFS
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Cf. A086909.
Sequence in context: A000761 A003209 A155645 this_sequence A098206 A104911 A091119
Adjacent sequences: A095264 A095265 A095266 this_sequence A095268 A095269 A095270
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 02 2004
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 09 2004
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