A337917 - OEIS

%I #13 Nov 09 2020 00:07:11

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,269,0,0,0,0,0,0,0,0,0,

%T 0,0,0,0,0,0,0,0,0,0,0,0,0,253,0,629,0,0,0,0,0,0,200,360,0,0,0,484,0,

%U 0,0,0,0,0,0,584,0,0,512,464,417,0,0,0,0,0,0,0,367,0,0,0,0,0,0,0,0,0,0,0,0,0,0,466,161,0,0,0,0,0,0,0,0,0,0,0,463,0,0

%N Values of the Ramanujan tau quadruples mod 691 such that four (or more) consecutive Ramanujan tau numbers are congruent mod 691.

%C Corresponding indices of the Ramanujan tau quadruples mod 691 are listed in A337916.

%C tau(n) mod 691 appears to be almost evenly distributed between 0 and 690 - 2 through 690 each occur approximately 1/691 of the time; 0 occurs slightly more than that and 1 occurs slightly less.  However, consecutive values that are congruent mod 691 are predominately congruent to 0.

%H Jud McCranie, <a href="/A337917/b337917.txt">Table of n, a(n) for n = 1..1419</a>

%e Ramajuan tau A000594(1045217422) == A000594(1045217423) == A000594(1045217424) == A000594(1045217425) == 269

%e so 269 is in the sequence, corresponding to 1045217422 in A337916.

%Y Cf. A337916, A121742, A121743, A000594, A046694, A121733, A121734, A121742.

%K nonn

%O 1,24

%A _Jud McCranie_, Nov 02 2020