A299157 Numbers k such that k+1 divides tau(k), where tau(k) = A000594(k) is Ramanujan's tau function.

2, 3, 5, 6, 7, 11, 13, 17, 19, 20, 22, 23, 27, 29, 31, 41, 45, 47, 53, 55, 59, 68, 71, 76, 77, 79, 83, 87, 89, 91, 97, 104, 107, 114, 127, 137, 139, 149, 160, 167, 171, 177, 179, 183, 191, 195, 199, 209, 223, 229, 239, 240, 243, 251, 269, 275, 293, 297, 321, 343

Offset

1,1

Comments

Numbers k such that A299163(k) = 0.

Links

Seiichi Manyama, Table of n, a(n) for n = 1..500

Eric Weisstein's World of Mathematics, Tau Function.

Mathematica

q[k_] := Divisible[RamanujanTau[k], k+1]; Select[Range[350], q] (* Amiram Eldar, Jan 08 2025 *)

Prog

(PARI) isok(n) = (ramanujantau(n) % (n+1)) == 0; \\ Michel Marcus, Feb 05 2018

Crossrefs

Cf. A000594, A063938, A079334, A296991, A299158, A299163.

Sequence in context: A352336 A283599 A096530 * A325327 A003174 A238463

Adjacent sequences: A299154 A299155 A299156 * A299158 A299159 A299160

Keyword

nonn

Author

Seiichi Manyama, Feb 04 2018

Status

approved