Search: id:A101439
Results 1-1 of 1 results found.

%I A101439
%S A101439 6,63336,474474,666666,4383834,43177134,460962269064,60471399317406,
%T A101439 60490233209406,643869171968346,6708875775788076,44703479297430744,
%U A101439 608857707707758806
%N A101439 Areas of primitive Pythahorean triangles which are palindromes.
%C A101439 Other parts of the n_th triangle are for a(1): a=3, b=4, c=5 & area=6 
               = a*b/2; a(2): a=377, b=336, c=505; a(3): a=6083, b=156, c=6085;
%C A101439 a(4): a=693, b=1924, c=2045; a(5): a=1443, b=6076, c=6245; a(6): a=24843, 
               b=3476, c=25085; a(7): a=81073, b=11371536, c=11371825;
%C A101439 a(8): a=2724403, b=44392404, c=44475925; a(9): a=5390853, b=22441804, 
               c=23080205; a(10): a=17453637, b=73780516, c=75816845;
%C A101439 a(11): a=1454034783, b=9227944, c=1454064065; a(12): a=53643247, b=1666695504, 
               c=1667558545; a(13): a=1019664547, b=1194231396, c=1570319845.
%e A101439 666666 is a member as it is a palindromic number and is the area of a 
               primitive Pythagorean triangle with legs a=693 & b=1924 and hypotenuse 
               c=2045.
%t A101439 lst = {}; Do[ If[ GCD[m, n] == 1, a = IntegerDigits[m*n^3 - n*m^3]; If[ 
               Reverse[a] == a, lst = Sort[ AppendTo[ lst, a]]; Print[{n^2 - m^2, 
               2m*n, n^2 + m^2, m*n^3 - n*m^3}]]], {n, 55000}, {m, If[ EvenQ[n], 
               1, 2], n - 1, 2}]; lst (from Robert G. Wilson v Jan 25 2005)
%Y A101439 Sequence in context: A118859 A076913 A101450 this_sequence A099112 A086897 
               A034208
%Y A101439 Adjacent sequences: A101436 A101437 A101438 this_sequence A101440 A101441 
               A101442
%K A101439 nonn,base
%O A101439 1,1
%A A101439 Zak Seidov (zakseidov(AT)yahoo.com), Jan 18 2005
%E A101439 a(8) & a(10) - a(13) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 
               25 2005

Search completed in 0.001 seconds