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A177770 Conjectured positive numbers which have more than one representation (m,s) as a difference s^2 - m^5, m >= 1, s > 0.

%I A177770 #21 Aug 14 2013 16:06:09
%S A177770 224,356,368,433,497,657,740,1057,1060,1088,1124,1377,1680,1828,2400,
%T A177770 2576,3332,3357,3599,4100,4324,4868,7076,8001,8217,10993,11268,11417,
%U A177770 12289,13312,14225,14852,15025,15193,15593,15633,17201,19140,20132,20448,21124
%N A177770 Conjectured positive numbers which have more than one representation (m,s) as a difference s^2 - m^5, m >= 1, s > 0.
%C A177770 Warning: terms may be missing, see the Blomberg link.
%H A177770 Lars Blomberg, <a href="/A177770/b177770.txt">Table of n, a(n) for n = 1..9889</a>. The table contains solutions with differences < 10^9 generated for m <= 10^6. No more solutions are found for m <= 10^9.
%e A177770 a(1) = 224 = 15^2-1^5 = 16^2-2^5.
%e A177770 a(2) = 356 = 59^2-5^5 = 182^2-8^5.
%e A177770 a(3) = 368 = 20^2-2^5 = 45531^2-73^5.
%e A177770 a(4) = 433 = 26^2-3^5 = 3447^2-26^5.
%e A177770 a(5) = 497 = 23^2-2^5 = 39^2-4^5.
%e A177770 a(6) = 657 = 30^2-3^5 = 41^2-4^5.
%e A177770 a(7) = 740 = 42^2-4^5 = 12842^2-44^5.
%e A177770 a(8) = 1057 = 332^2-2^5 = 1375^2-18^5.
%e A177770 a(9) = 1060 = 94^2-6^5 = 2822^2-24^5.
%e A177770 a(10) = 1088 = 33^2-1^5 = 184^2-8^5.
%e A177770 a(11) = 1124 = 34^2-2^5 = 318^2-10^5.
%e A177770 a(12) = 1377 = 49^2-4^5 = 1574^2-19^5.
%e A177770 a(13) = 1680 = 41^2-1^5 = 52^2-4^5.
%e A177770 a(14) = 1828 = 98^2-6^5 = 186^2-8^5 = 90298^2-96^5.
%Y A177770 Cf. A152412, A177760, A177761, A177763-A177766.
%K A177770 nonn
%O A177770 1,1
%A A177770 _Artur Jasinski_, May 13 2010
%E A177770 Added constraint s>0 to the definition, inserted 368 - _R. J. Mathar_, May 23 2010
%E A177770 Name clarified, a(25)-a(41) from _Lars Blomberg_, Aug 13 2013
%E A177770 Representations for a(3) added in Example by _Lars Blomberg_, Aug 13 2013