A126840 Ramanujan numbers (A000594) read mod 11^2.

1, 97, 10, 101, 111, 2, 75, 22, 97, 119, 34, 42, 37, 15, 21, 18, 20, 92, 110, 79, 24, 31, 76, 99, 73, 80, 93, 73, 99, 101, 73, 8, 98, 4, 97, 117, 102, 22, 7, 22, 113, 29, 27, 46, 119, 112, 85, 59, 19, 63, 79, 107, 5, 67, 23, 77, 11, 44, 82, 64, 23, 63, 15, 91, 114, 68, 59, 84, 34

Offset: 1

Author

N. J. A. Sloane, Feb 25 2007

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000
• H. P. F. Swinnerton-Dyer, On l-adic representations and congruences for coefficients of modular forms, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.

Crossrefs

Cf. A000594, A126839 (mod 11^1), this sequence (mod 11^2), A126841 (mod 11^3).

Programs

Mathematica

a[n_] := Mod[RamanujanTau[n], 121]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)

PARI

a(n) = ramanujantau(n) % 121; \\ Amiram Eldar, Jan 05 2025