login
Ramanujan numbers (A000594) read mod 7^3.
3

%I #12 Jan 06 2025 04:07:44

%S 1,319,252,243,28,126,63,102,233,14,218,182,217,203,196,325,28,239,

%T 294,287,98,256,193,322,81,280,126,217,121,98,98,80,56,14,49,24,291,

%U 147,147,112,112,49,282,152,7,170,91,266,196,114,196,252,134,63,273,252,0,183,42

%N Ramanujan numbers (A000594) read mod 7^3.

%H Seiichi Manyama, <a href="/A126838/b126838.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], 343]; Array[a, 100] (* _Amiram Eldar_, Jan 05 2025 *)

%o (PARI) a(n) = ramanujantau(n) % 343; \\ _Amiram Eldar_, Jan 05 2025

%Y Cf. A000594, A126836 (mod 7^1), A126837 (mod 7^2), this sequence (mod 7^3).

%K nonn

%O 1,2

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