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A196260 Positive integers b in (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.

%I A196260 #11 Dec 20 2024 11:07:39
%S A196260 2,4,15,32,6,70,20,192,8,30,44,10,26,64,20,12,17,45,140,220,14,40,384,
%T A196260 32,96,884,16,60,160,18,88,210,64,20,39,52,75,128,391,60,576,22,40,
%U A196260 102,950,228,2080,24,34,90,280,32,160,348,26,186,440,132,28,80,105,253,768,1100,30,64,78,192
%N A196260 Positive integers b in (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.
%C A196260 See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.
%H A196260 Robert Israel, <a href="/A196260/b196260.txt">Table of n, a(n) for n = 1..10000</a>
%p A196260 F:= proc(a)
%p A196260   sort(select(t -> subs(t, b) >= a and subs(t, c) > 0, [isolve](4*a^2 + 4*b^2 + a*b = 4*c^2)), (s, t) -> subs(s, b) <= subs(t, b))
%p A196260 end proc:
%p A196260 seq(op(map(t -> subs(t,b), F(a))),a=1..40); # _Robert Israel_, Dec 20 2024~
%t A196260 (See A196259.)
%Y A196260 Cf. A195770, A196259, A196261, A196263.
%K A196260 nonn
%O A196260 1,1
%A A196260 _Clark Kimberling_, Sep 30 2011
%E A196260 Corrected by _Robert Israel_, Dec 20 2024