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 A079330 #26 Feb 16 2025 08:32:48 %S A079330 1,2,13,146,781,16328,6316012,38759594,9655714457,50134571594, %T A079330 25626917879,638499558282328,125381104727404588,435948294065152496, %U A079330 146414084312394268792,1076603090723736731974978 %N A079330 Numerators of coefficients of odd powers of 1/q in the solution series for tan(x)/x=1. %C A079330 Series contributed by David W. Cantrell. %D A079330 Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 34, equation 34:7:4 at page 325. %H A079330 Vaclav Kotesovec, <a href="/A079330/b079330.txt">Table of n, a(n) for n = 1..250</a> %H A079330 Vaclav Kotesovec, <a href="/A079330/a079330.pdf">Asymptotic of the coefficients A079330 / A088989</a>. %H A079330 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TancFunction.html">Tanc Function</a>. %F A079330 a(n)/A088989(n) ~ c * (Pi/2)^(2*n) / n^(4/3), where c = GAMMA(1/3)/(2^(2/3)*3^(1/6)*Pi^(5/3)) = 0.208532... . - _Vaclav Kotesovec_, Aug 19 2014 %t A079330 Last/@Partition[CoefficientList[InverseSeries[Series[x+Cot[x], {x, 0, 50}], q], 1/q], 2] %Y A079330 Denominators are in A088989. %Y A079330 Cf. A224196. %K A079330 nonn,frac %O A079330 1,2 %A A079330 _Eric W. Weisstein_, Jan 03 2003