A355588 T(j,k) are the denominators v 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 7, 35, 7, 35, 35, 7, 35, 35, 35, 35, 35, 55, 385, 385, 385, 55, 55, 385, 11, 55, 385, 385, 385, 385, 55, 5005, 455, 5005, 5005, 455, 5005, 5005, 5005, 5005, 5005, 5005, 5005, 5005, 1001, 143, 1001

Offset: 0

Author

Hugo Pfoertner, Jul 09 2022

Keywords

• nonn
• tabf
• frac

Comments

See A355585 for more information.

Examples

			The triangle begins:
   1;
   1;
   1,  1;
   1,  1;
   1,  1,  1;
   1,  1,  1;
   5,  5,  5,  5;
   5,  5,  5,  5;
  35, 35, 35, 35, 35;
  35, 35, 35, 35, 35;
		

Crossrefs

A355587 are the corresponding numerators u.

A355585 and A355586 are s and t.

Programs

PARI

See A355587.