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

Author

Jud McCranie, Nov 02 2020

Keywords

• nonn

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.

Examples

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

Links

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

Crossrefs

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