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

0,13

Comments

See A355585 for more information.

Links

Table of n, a(n) for n=0..71.

Example

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;

Prog

(PARI) See A355587.

Crossrefs

A355587 are the corresponding numerators u.

A355585 and A355586 are s and t.

Sequence in context: A341034 A341035 A200325 * A289119 A117878 A291497

Adjacent sequences: A355585 A355586 A355587 * A355589 A355590 A355591

Keyword

nonn,tabf,frac

Author

Hugo Pfoertner, Jul 09 2022

Status

approved