cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A126836 Ramanujan numbers (A000594) read mod 7.

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%I A126836 #18 Jan 05 2025 01:10:36
%S A126836 1,4,0,5,0,0,0,4,2,0,1,0,0,0,0,3,0,1,0,0,0,4,4,0,4,0,0,0,2,0,0,3,0,0,
%T A126836 0,3,4,0,0,0,0,0,2,5,0,2,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,
%U A126836 0,0,2,1,0,2,0,0,0,0,4,0,4,0,0,0,0,1,0,4,0,0,0,6,0,0,0,0,0,0,2,6,0,0,0,0,0
%N A126836 Ramanujan numbers (A000594) read mod 7.
%H A126836 Seiichi Manyama, <a href="/A126836/b126836.txt">Table of n, a(n) for n = 1..10000</a>
%H A126836 R. P. Bambah, <a href="http://dx.doi.org/10.1090/S0002-9904-1947-08869-8">Ramanujan’s function tau(n)—A congruence property</a>, Bull. Amer. Math. Soc. 53 (1947), 764-765.
%H A126836 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.
%F A126836 a(n) = n*sigma_3(n) mod 7. - _Michel Marcus_, Apr 25 2016
%t A126836 Mod[RamanujanTau@ #, 7] &@ Range@ 120 (* _Michael De Vlieger_, Apr 25 2016 *)
%o A126836 (PARI) a(n) = ramanujantau(n) % 7; \\ _Amiram Eldar_, Jan 05 2025
%Y A126836 Cf. A000594, A001158.
%Y A126836 Cf. this sequence (mod 7^1), A126837 (mod 7^2), A126838 (mod 7^3).
%K A126836 nonn
%O A126836 1,2
%A A126836 _N. J. A. Sloane_, Feb 25 2007