%I A002365 M3430 N1391
%S A002365 4,12,15,21,35,40,45,60,55,80,72,99,91,112,105,140,132,165,180,168,195,
%T A002365 221,208,209,255,260,252,231,285,312,308,288,299,272,275,340,325,399,
%U A002365 391,420,408,351,425,380,459,440,420,532,520,575,465,551,612,608,609
%N A002365 Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).
%D A002365 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002365 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002365 A. J. C. Cunningham, Quadratic and Linear Tables. Hodgson, London, 1927, 
               pp. 77-79.
%D A002365 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 
               105, National Research Council, Washington, DC, 1941, p. 60.
%H A002365 T. D. Noe, <a href="b002365.txt">Table of n, a(n) for n=1..1000</a>
%e A002365 The following table shows the relationship
%e A002365 between several closely related sequences:
%e A002365 Here p = A002144 = primes == 1 mod 4, p = a^2+b^2 with a < b;
%e A002365 a = A002331, b = A002330, t_1 = ab/2 = A070151;
%e A002365 p^2 = c^2+d^2 with c < d; c = A002366, d = A002365,
%e A002365 t_2 = 2ab = A145046, t_3 = b^2-a^2 = A070079,
%e A002365 with {c,d} = {t_2, t_3}, t_4 = cd/2 = ab(b^2-a^2).
%e A002365 ---------------------------------
%e A002365 .p..a..b..t_1..c...d.t_2.t_3..t_4
%e A002365 ---------------------------------
%e A002365 .5..1..2...1...3...4...4...3....6
%e A002365 13..2..3...3...5..12..12...5...30
%e A002365 17..1..4...2...8..15...8..15...60
%e A002365 29..2..5...5..20..21..20..21..210
%e A002365 37..1..6...3..12..35..12..35..210
%e A002365 41..4..5..10...9..40..40...9..180
%e A002365 53..2..7...7..28..45..28..45..630
%e A002365 .................................
%e A002365 3^2 + 4^2 = 5^2, giving x=3, y=4, p=5 and we have the first terms of 
               A002366, the present sequence and A002144.
%Y A002365 Cf. A002366, A002144.
%Y A002365 Sequence in context: A024353 A024354 A020883 this_sequence A046087 A081872 
               A120097
%Y A002365 Adjacent sequences: A002362 A002363 A002364 this_sequence A002366 A002367 
               A002368
%K A002365 nonn
%O A002365 1,1
%A A002365 N. J. A. Sloane (njas(AT)research.att.com).
%E A002365 More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 23 
               2004
%E A002365 Revised definition from M. F. Hasler (MHasler(AT)univ-ag.fr), Feb 24 
               2009