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A107103 Column 1 of triangle A107102, which is the matrix inverse of A100862. 2

%I #6 May 10 2013 12:45:42

%S 1,-3,12,-67,495,-4596,51583,-680037,10306152,-176591665,3376207461,

%T -71258869848,1645797382177,-41289185878227,1118136109703460,

%U -32509366699961371,1010047705084550823,-33397162601828122332,1170937325957822375167,-43391988679237460897205

%N Column 1 of triangle A107102, which is the matrix inverse of A100862.

%C Column 0 of triangle A107102 is signed A001515 (Bessel polynomial).

%F |a(n)| = 2*A001515(n)-A001515(n-1). - _Vladeta Jovovic_, Aug 10 2006

%o (PARI) {a(n)=local(X=x+x^2*O(x^n),Y=y+y^2*O(y^n));(matrix(n+2,n+2,m,k,if(m>=k, (m-1)!*polcoeff(polcoeff(exp(X+Y*X^2/2+X*Y),m-1,x),k-1,y)))^-1)[n+2,2]}

%Y Cf. A100862, A001515, A043301, A107102, A107104.

%K sign

%O 0,2

%A _Paul D. Hanna_, May 21 2005

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Last modified April 23 13:38 EDT 2024. Contains 371914 sequences. (Running on oeis4.)