cp's OEIS Frontend

A356202 a(n) is the second component y of the distance vector (x,y), x >= y >= 0, between two nodes of an infinite square lattice of one-ohm resistors, such that the resistance R between the two nodes is as close as possible to n ohms, i.e., abs(R - n) is minimized. x is A356201(n).

%I A356202 #11 Sep 09 2022 14:50:38
%S A356202 0,2,8,606,24881,903855,18345919,303176603,7423167971,247828120179,
%T A356202 6034957650107,7948827377158
%N A356202 a(n) is the second component y of the distance vector (x,y), x >= y >= 0, between two nodes of an infinite square lattice of one-ohm resistors, such that the resistance R between the two nodes is as close as possible to n ohms, i.e., abs(R - n) is minimized. x is A356201(n).
%C A356202 If more than one solution exists, the one maximizing x and minimizing y is chosen.
%e A356202 See table in A356201.
%o A356202 (PARI) \\ using the function Rsqlatt(R) from program file linked in A356201
%o A356202 for (k=0, 11, print1(Rsqlatt(k)[2], ", ")) \\ _Hugo Pfoertner_, Sep 09 2022
%Y A356202 Cf. A355565, A355566, A355567, A355953, A355955.
%K A356202 nonn,hard,more
%O A356202 0,2
%A A356202 _Hugo Pfoertner_, Aug 01 2022
%E A356202 a(9)-a(11) from _Hugo Pfoertner_, Aug 22 2022