A121734 Ramanujan tau numbers such that A000594(k) == A000594(k+1) mod 691, or A046694(k) = A046694(k+1).

483, 209, 21, 632, 650, 541, 546, 281, 666, 440, 397, 576, 18, 251, 356, 207, 532, 361, 121, 642, 288, 167, 348, 505, 561, 0, 108, 166, 97, 492, 58, 255, 632, 151, 679, 185, 141, 587, 0, 549, 459, 428, 549, 157, 559, 121, 605, 102

Offset

1,1

Comments

The corresponding indices k are listed in A121733.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Ramanujan's Tau Function.

Formula

a(n) = mod(A000594(A121733(n)), 691) = A046694(A121733(n)).

Example

a(1) = 483 because the first pair of equal consecutive numbers in A046694 is A046694(184) = A046694(185) = 483.

Mathematica

Do[f=Mod[DivisorSigma[11, n], 691]; g=Mod[DivisorSigma[11, n+1], 691]; If[f==g, Print[{n, f}]], {n, 1, 10000}]

Crossrefs

Cf. A000594, A046694, A121733.

Sequence in context: A158329 A231395 A263291 * A260976 A281047 A158330

Adjacent sequences: A121731 A121732 A121733 * A121735 A121736 A121737

Keyword

nonn

Author

Alexander Adamchuk, Aug 18 2006

Status

approved