A337917 Values of the Ramanujan tau quadruples mod 691 such that four (or more) consecutive Ramanujan tau numbers are congruent mod 691.

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, 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, 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

Offset

1,24

Comments

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

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.

Links

Jud McCranie, Table of n, a(n) for n = 1..1419

Example

Ramajuan tau A000594(1045217422) == A000594(1045217423) == A000594(1045217424) == A000594(1045217425) == 269
so 269 is in the sequence, corresponding to 1045217422 in A337916.

Crossrefs

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

Sequence in context: A330413 A251941 A286792 * A115183 A073522 A273552

Adjacent sequences: A337914 A337915 A337916 * A337918 A337919 A337920

Keyword

nonn

Author

Jud McCranie, Nov 02 2020

Status

approved