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 A096471 #11 Jul 06 2023 07:24:27 %S A096471 1,3,12,60,345,2415,18480,166320,1596105,17557155,202951980, %T A096471 2638375740,35703612945,535554194175,8307234936000,141222993912000, %U A096471 2470641012464625,46942179236827875,914462992955011500 %N A096471 Number of degree-n permutations with exactly one even cycle. %H A096471 Robert Israel, <a href="/A096471/b096471.txt">Table of n, a(n) for n = 2..449</a> %F A096471 E.g.f.: -1/2*((1+x)/(1-x))^(1/2)*log(1-x^2). %F A096471 Conjecture D-finite with recurrence a(n) -3*a(n-1) +(-2*n^2+8*n-3)*a(n-2) +(n-2)*(4*n-15)*a(n-3) +(n-3)*(n^3-9*n^2+22*n-7)*a(n-4) -(n-3)*(n-4)*(n-5)^2*a(n-5)=0. - _R. J. Mathar_, Jul 06 2023 %p A096471 S:= series(-1/2*((1+x)/(1-x))^(1/2)*log(1-x^2), x, 51): %p A096471 seq(coeff(S,x,n)*n!, n=2..50); # _Robert Israel_, Nov 13 2017 %Y A096471 Cf. A060523, A028353. %K A096471 easy,nonn %O A096471 2,2 %A A096471 _Vladeta Jovovic_, Aug 13 2004