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 A341727 #19 Sep 04 2023 14:35:46 %S A341727 1,-4,24,-200,2080,-25932,377216,-6271120,117287424,-2437334420, %T A341727 55714920448,-1389365372760,37533886128128,-1091981490075868, %U A341727 34038486791454720,-1131758947520249120,39982188936149204992,-1495556350390047594276,59050025742595595436032 %N A341727 Column 1 of A341724. %F A341727 From _Mélika Tebni_, Sep 04 2023: (Start) %F A341727 E.g.f.: x / (1 + 2*sinh(x)). %F A341727 a(n) = (-1)^(n-1)*n*A000557(n-1). %F A341727 a(n) = (-1)^(n-1)*Sum_{k=0..n} A000556(k)*(n-k)*binomial(n, k). (End) %p A341727 A341727 := n -> (-1)^(n-1)*n*add(k!*combinat[fibonacci](k+2)*Stirling2(n-1, k), k=0..n-1):seq(A341727(n), n = 1 .. 19); # _Mélika Tebni_, Sep 04 2023 %p A341727 # E.g.f. Maple program: %p A341727 A341727 := series(x / (1 + 2*sinh(x)), x = 0, 20): %p A341727 seq(n!*coeff(A341727, x, n), n = 1 .. 19); # _Mélika Tebni_, Sep 04 2023 %Y A341727 Cf. A000556, A000557, A341724 ,A341726, A341728. %K A341727 sign %O A341727 1,2 %A A341727 _N. J. A. Sloane_, Mar 04 2021 %E A341727 More terms from _Mélika Tebni_, Sep 04 2023