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Ramanujan numbers (A000594) read mod 512.
1

%I #10 Jan 06 2025 04:12:09

%S 1,488,252,64,222,96,152,0,21,304,84,256,310,448,136,0,434,8,44,384,

%T 416,32,328,0,423,240,408,0,102,320,352,0,176,336,464,320,318,480,296,

%U 0,378,256,180,256,54,320,272,0,425,88,312,384,366,448,216,0,336,112,228,0,198

%N Ramanujan numbers (A000594) read mod 512.

%H Amiram Eldar, <a href="/A126819/b126819.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], 512]; Array[a, 100] (* _Amiram Eldar_, Jan 05 2025 *)

%o (PARI) a(n) = ramanujantau(n) % 512; \\ _Amiram Eldar_, Jan 05 2025

%Y Cf. A000594.

%K nonn,changed

%O 1,2

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