A355952 Column 0 of the irregular triangle A355588.

1, 1, 1, 1, 1, 1, 5, 5, 35, 35, 35, 7, 55, 11, 5005, 5005, 5005, 5005, 85085, 85085, 323323, 323323, 46189, 46189, 437437, 572033, 185910725, 185910725, 26558675, 185910725, 5391411025, 5391411025, 1453336885, 43332575, 4775249765, 15193976525, 6685349671, 283758475

Offset

0,7

Comments

a(n) are the denominators v in the representation R = s/t - (2*sqrt(3)/Pi)*u/v of the resistance between two nodes with distance n on the same grid line in an infinite triangular lattice of one-ohm resistors. The corresponding denominators are A355951. See there for more information, e.g., how to determine s/t.

Links

Table of n, a(n) for n=0..37.

Prog

(PARI) See A355951.

Crossrefs

Cf. A355585, A355588, A355951 (numerators).

Sequence in context: A160608 A208950 A160672 * A232982 A160555 A067047

Adjacent sequences: A355949 A355950 A355951 * A355953 A355954 A355955

Keyword

nonn,frac

Author

Hugo Pfoertner, Jul 21 2022

Status

approved