A361090 - OEIS

%I #14 Mar 15 2023 11:11:34

%S 1,1,3,7,-11,-239,-179,24991,192025,-3955391,-89483399,552615031,

%T 46231717621,254468241457,-26683006147979,-571848064714289,

%U 14926049610344881,825004339886219521,-2973711136010539535,-1134313888244827421465,-17734152216328857754739

%N E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)) ).

%H Winston de Greef, <a href="/A361090/b361090.txt">Table of n, a(n) for n = 0..399</a>

%F a(n) = n! * Sum_{k=1..n} (-n+k+1)^(k-1) * binomial(n-1,n-k)/k! for n>0.

%o (PARI) a(n) = if(n==0, 1, n!*sum(k=1, n, (-n+k+1)^(k-1)*binomial(n-1, n-k)/k!));

%Y Cf. A161630, A212722, A212917, A361091, A361092.

%Y Cf. A361067, A361095.

%K sign

%O 0,3

%A _Seiichi Manyama_, Mar 01 2023