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Smallest k such that k can be written in exactly n ways as x^2 + 3*x*y + y^2 with 0 <= x <= y.
1

%I #18 Jul 02 2024 10:19:55

%S 2,0,121,2299,6061,43681,66671,33659659,187891,1266749,8067191,

%T 639533521,2066801

%N Smallest k such that k can be written in exactly n ways as x^2 + 3*x*y + y^2 with 0 <= x <= y.

%C a(n) is the smallest nonnegative k such that A374276(k) = n.

%C a(14) = 36735721.

%C a(15) = 153276629.

%C a(16) = 7703531.

%C a(18) = 39269219.

%C a(20) = 250082921.

%C a(24) = 84738841.

%C a(32) = 454508329.

%Y Cf. A000446, A198799.

%Y Cf. A031363, A374091, A374095, A374276.

%K nonn,more

%O 0,1

%A _Seiichi Manyama_, Jul 02 2024