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.
%I A290180 #22 Mar 11 2023 06:42:16 %S A290180 1,432,39960,-1418560,17312940,-71928864,-462815680,7500885120, %T A290180 -38038437810,29000909200,729783353376,-4661016429888,13691625085880, %U A290180 -16503845217120,-14982974507520,45085348093056,99234456545637,-157805792764560,-1644659689877680 %N A290180 Coefficients in expansion of E_8*Delta^2 where Delta is the generating function of Ramanujan's tau function (A000594). %H A290180 Seiichi Manyama, <a href="/A290180/b290180.txt">Table of n, a(n) for n = 2..1000</a> %H A290180 S. C. Milne, <a href="https://arxiv.org/abs/math/0009130">Hankel determinants of Eisenstein series</a>, preprint, arXiv:0009130 [math.NT], 2000. %F A290180 Let b(q) be the determinant of the 3 X 3 matrix [E_6, E_8, E_12 ; E_8, E_10, E_14 ; E_10, E_12, E_16]. G.f. is -691^2*3617*b(q)/(1728^2*2^3*3*5^3*7^2*467). %t A290180 terms = 19; %t A290180 E8[x_] = 1 + 480*Sum[k^7*x^k/(1 - x^k), {k, 1, terms}]; %t A290180 E8[x]*QPochhammer[x]^48 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 26 2018 *) %Y A290180 E_k*Delta^2: A290178 (k=4), A290048 (k=6), this sequence (k=8), A290181 (k=10), A290182 (k=14). %Y A290180 Cf. A000594, A008410 (E_8). %K A290180 sign %O A290180 2,2 %A A290180 _Seiichi Manyama_, Jul 23 2017