cp's OEIS Frontend

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.

%I A355588 #8 Jul 22 2022 16:44:13
%S A355588 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,
%T A355588 35,35,7,35,7,35,35,7,35,35,35,35,35,55,385,385,385,55,55,385,11,55,
%U A355588 385,385,385,385,55,5005,455,5005,5005,455,5005,5005,5005,5005,5005,5005,5005,5005,1001,143,1001
%N 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.
%C A355588 See A355585 for more information.
%e A355588 The triangle begins:
%e A355588    1;
%e A355588    1;
%e A355588    1,  1;
%e A355588    1,  1;
%e A355588    1,  1,  1;
%e A355588    1,  1,  1;
%e A355588    5,  5,  5,  5;
%e A355588    5,  5,  5,  5;
%e A355588   35, 35, 35, 35, 35;
%e A355588   35, 35, 35, 35, 35;
%o A355588 (PARI) See A355587.
%Y A355588 A355587 are the corresponding numerators u.
%Y A355588 A355585 and A355586 are s and t.
%K A355588 nonn,tabf,frac
%O A355588 0,13
%A A355588 _Hugo Pfoertner_, Jul 09 2022