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

Author

Hugo Pfoertner, Jul 09 2022

Keywords

• nonn
• tabf
• frac

Comments

See A355585 for more information.

Examples

			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;
		

References

• See A211074 for references and links.

Crossrefs

A355585 are the corresponding numerators.

A355587 and A355588 are u and v.

Programs

PARI

See A355585.