A355586 T(j,k) are the denominators t in the representation R = s/t + (2*sqrt(3)/Pi)*u/v of the resistance between two nodes separated by the distance (j,k) in an infinite triangular lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= floor(j/2) is an irregular triangle read by rows.

1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1

Offset

0,2

Comments

See A355585 for more information.

References

See A211074 for references and links.

Links

Table of n, a(n) for n=0..89.

Example

The triangle begins:
  1;
  3;
  3, 3;
  1, 1;
  3, 1, 1;
  3, 3, 1;
  1, 3, 3, 1;
  3, 3, 1, 3;
  3, 3, 3, 3, 3;
  1, 1, 1, 1, 1;

Prog

(PARI) See A355585.

Crossrefs

A355585 are the corresponding numerators.

A355587 and A355588 are u and v.

Sequence in context: A130974 A064353 A190906 * A080311 A135368 A172358

Adjacent sequences: A355583 A355584 A355585 * A355587 A355588 A355589

Keyword

nonn,tabf,frac

Author

Hugo Pfoertner, Jul 09 2022

Status

approved