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 A364658 #10 Aug 02 2023 07:05:56 %S A364658 1,2,-1,4,-7,14,-91,208,-494,10868,-27170,69160,-535990,1401820, %T A364658 -3704810,29638480,-79653415,215532770,-5280552865,14452039420, %U A364658 -39743108405,329300041070,-913059204785,2540686482880,-21278249294120,59579098023536,-167279775219928,12713262916714528 %N A364658 Numerators of coefficients in expansion of (1 + x)^(2/3). %e A364658 (1 + x)^(2/3) = 1 + 2*x/3 - x^2/9 + 4*x^3/81 - 7*x^4/243 + 14*x^5/729 - 91*x^6/6561 + ... %e A364658 Coefficients are 1, 2/3, -1/9, 4/81, -7/243, 14/729, -91/6561, ... %t A364658 nmax = 27; CoefficientList[Series[(1 + x)^(2/3), {x, 0, nmax}], x] // Numerator %t A364658 Table[Binomial[2/3, n], {n, 0, 27}] // Numerator %o A364658 (PARI) my(x='x+O('x^30)); apply(numerator, Vec((1 + x)^(2/3))) \\ _Michel Marcus_, Aug 02 2023 %Y A364658 Denominators are A067623. %Y A364658 Cf. A002596, A067622, A127974, A161200, A364661. %K A364658 sign,frac %O A364658 0,2 %A A364658 _Ilya Gutkovskiy_, Aug 01 2023