A361097 - OEIS

%I #11 Mar 14 2023 13:44:26

%S 1,1,-3,22,-251,3816,-71207,1542640,-36997431,929097856,-22062115979,

%T 334968255744,13395424571725,-2177817789105152,201597999475333329,

%U -16622491076645341184,1332634806870147259537,-107073894723559010304000

%N E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)^3) - 1 ).

%H Winston de Greef, <a href="/A361097/b361097.txt">Table of n, a(n) for n = 0..359</a>

%F a(n) = n! * Sum_{k=0..n} (-3*n+1)^(k-1) * binomial(n-1,n-k)/k!.

%o (PARI) a(n) = n!*sum(k=0, n, (-3*n+1)^(k-1)*binomial(n-1, n-k)/k!);

%Y Cf. A052873, A361093, A361094, A361095, A361096.

%K sign

%O 0,3

%A _Seiichi Manyama_, Mar 01 2023