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A337917
Values of the Ramanujan tau quadruples mod 691 such that four (or more) consecutive Ramanujan tau numbers are congruent mod 691.
2
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
EXAMPLE
Ramajuan tau A000594(1045217422) == A000594(1045217423) == A000594(1045217424) == A000594(1045217425) == 269
so 269 is in the sequence, corresponding to 1045217422 in A337916.
KEYWORD
nonn
AUTHOR
Jud McCranie, Nov 02 2020
STATUS
approved