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).

0, 2, 8, 606, 24881, 903855, 18345919, 303176603, 7423167971, 247828120179, 6034957650107, 7948827377158

Offset

0,2

Comments

If more than one solution exists, the one maximizing x and minimizing y is chosen.

Links

Table of n, a(n) for n=0..11.

Example

See table in A356201.

Prog

(PARI) \\ using the function Rsqlatt(R) from program file linked in A356201
for (k=0, 11, print1(Rsqlatt(k)[2], ", ")) \\ Hugo Pfoertner, Sep 09 2022

Crossrefs

Cf. A355565, A355566, A355567, A355953, A355955.

Sequence in context: A262826 A013554 A175923 * A076985 A120802 A120838

Adjacent sequences: A356199 A356200 A356201 * A356203 A356204 A356205

Keyword

nonn,hard,more

Author

Hugo Pfoertner, Aug 01 2022

Extensions

a(9)-a(11) from Hugo Pfoertner, Aug 22 2022

Status

approved