A196261 - OEIS

%I #15 Jan 09 2025 12:18:26

%S 3,6,16,33,9,71,22,193,12,32,46,15,29,66,24,18,22,48,142,222,21,44,

%T 386,37,99,886,24,64,163,27,92,213,69,30,46,58,80,132,394,66,579,33,

%U 48,107,953,232,2083,36,44,96,284,43,165,352,39,191,444,138,42,88,112,258,772,1104,45,74,87,198

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

%C See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

%H Robert Israel, <a href="/A196261/b196261.txt">Table of n, a(n) for n = 1..10000</a>

%p F:= proc(a)

%p   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 end proc:

%p seq(op(map(t -> subs(t,c), F(a))),a=1..60); # _Robert Israel_, Dec 20 2024

%t (See A196259.)

%Y Cf. A195770, A196259, A196260, A196262, A196264.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 30 2011