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A121733 Numbers n such that two consecutive Ramanujan tau numbers are congruent mod 691, or A000594[n] == A000594[n+1] mod 691, or A046694[n] = A046694[n+1]. +0
7
184, 2103, 3421, 3638, 4342, 5181, 6029, 6233, 8323, 8628, 8721, 9658, 9905, 11322, 11774, 11888, 12410, 12774, 12811, 13063, 13484, 14744, 14906, 15065, 15247, 16581, 16610, 18248, 18396, 18703, 19514, 20476, 20479, 21657, 22089, 22984 (list; graph; listen)
OFFSET

1,1

COMMENT

Corresponding Ramanujan tau numbers mod 691 are listed in A121734[n] = A046694[a(n)]. A121734[n] begins {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,...}.

There are instances of three consecutive equal terms in A046694, with A046694[n] = A046694[n+1] = A046694[n+2]. Equivalently there are consecutive equal terms a(n) such that a(n) = a(n+1). The first such set is A046694(290217) = A046694(290218) = A046694(290219) = 0. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 18 2006

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Ramanujan's Tau Function.

EXAMPLE

a(1) = 184 because the first pair of equal consecutive numbers in A046694[n] is A046694[184] = A046694[185] = 483 = A121734[1].

MATHEMATICA

Select[Range[30000], Mod[DivisorSigma[11, #1], 691]==Mod[DivisorSigma[11, #1+1], 691]&]

CROSSREFS

Cf. A121734, A046694, A000594.

Adjacent sequences: A121730 A121731 A121732 this_sequence A121734 A121735 A121736

Sequence in context: A133609 A030465 A061657 this_sequence A035831 A094631 A060491

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 18 2006

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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