A356204 - OEIS

A356204

a(n) is the second component y of the distance vector (x,y) in an oblique 120-degree coordinate system, 0 <= y <= x, between two nodes of an infinite triangular 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 A356203(n).

%I #8 Aug 27 2022 13:47:48

%S 0,18,2536,1136101,119227930,33636581266,1774960492720,685318499093455

%N a(n) is the second component y of the distance vector (x,y) in an oblique 120-degree coordinate system, 0 <= y <= x, between two nodes of an infinite triangular 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 A356203(n).

%e See table in A356203.

%Y Cf. A355585, A355586, A355587, A355588, A355589, A355954.

%Y Cf. A356201, A356202 (similar for square lattice).

%K nonn,hard,more

%O 0,2

%A _Hugo Pfoertner_, Aug 13 2022