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A361095 E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)) - 1 ). 6

%I #11 Mar 15 2023 11:11:31

%S 1,1,1,-2,-3,56,-155,-2736,34489,72064,-6599799,53676800,1155350581,

%T -32238425088,-3604716947,14790925735936,-235482791871375,

%U -4972572910452736,254158358486634001,-1028499606209101824,-202204782754527137939,5371925138905661440000

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

%H Winston de Greef, <a href="/A361095/b361095.txt">Table of n, a(n) for n = 0..415</a>

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

%Y Cf. A052873, A361093, A361094, A361096, A361097.

%K sign

%O 0,4

%A _Seiichi Manyama_, Mar 01 2023

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Last modified February 26 05:55 EST 2024. Contains 370335 sequences. (Running on oeis4.)