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

Author

Seiichi Manyama, Feb 04 2018

Keywords

• nonn

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.

Crossrefs

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

Programs

Mathematica

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

PARI

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