This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A123507 #19 May 31 2025 10:28:52
%S A123507 1,2,1,3,1,1,2,2,3,2,4,3,5,5,5,7,8,9,11,12,14,17,19,22,26,31,34,41,47,
%T A123507 55,64,73,86,100,115,135,156,181,210,244,283,329,383,443,516,598,695,
%U A123507 807,936,1088,1263,1467,1703,1978,2297,2666,3097,3595,4176,4848,5630
%N A123507 Lengths of bit runs in A123506.
%C A123507 The sequence uses operations based on the second nontrivial Riemann zero: (1/2 + i*t), t = 21.022039639... A123504 and A123505 use the first nontrivial zero.
%C A123507 Record the numbers of consecutive bit runs of A123506, see example.
%D A123507 John Derbyshire, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume - a Penguin Group, NY, 2003, pp. 198-199.
%e A123507 a(4) = 3 since A123506 = 0, 1, 1, 0, 1, 1, 1, ...
%t A123507 Length /@ Split[Table[Boole[Arg[1/n^ZetaZero[2]] > 0], {n, 2, 10^6}]] (* _Amiram Eldar_, May 31 2025 *)
%Y A123507 Cf. A100060, A102522, A102523, A123504, A123505, A123506.
%K A123507 nonn
%O A123507 2,2
%A A123507 _Gary W. Adamson_, Oct 01 2006
%E A123507 More terms from _Amiram Eldar_, May 31 2025