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Ramanujan numbers (A000594) read mod 11^2.
3

%I #12 Jan 06 2025 04:06:03

%S 1,97,10,101,111,2,75,22,97,119,34,42,37,15,21,18,20,92,110,79,24,31,

%T 76,99,73,80,93,73,99,101,73,8,98,4,97,117,102,22,7,22,113,29,27,46,

%U 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

%N Ramanujan numbers (A000594) read mod 11^2.

%H Seiichi Manyama, <a href="/A126840/b126840.txt">Table of n, a(n) for n = 1..10000</a>

%H H. P. F. Swinnerton-Dyer, <a href="http://dx.doi.org/10.1007/978-3-540-37802-0_1">On l-adic representations and congruences for coefficients of modular forms</a>, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.

%t a[n_] := Mod[RamanujanTau[n], 121]; Array[a, 100] (* _Amiram Eldar_, Jan 05 2025 *)

%o (PARI) a(n) = ramanujantau(n) % 121; \\ _Amiram Eldar_, Jan 05 2025

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

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Feb 25 2007