A112693 Row sums of array A112692.
1, -4, -48, 2304, 552960, -796262400, -8026324992000, 647242847354880000, 469742968896277708800000, -3409206571061625099386880000000, -272169233711505353534412423168000000000
Offset: 0
Crossrefs
Unsigned row sums A112694.
Formula
a(n)=sum(A112692(k, m), m=0..((k+1)*(k+2)/2)-1), k>=0.
Let A(x)=sum(k>=0, |a(k)|*x^k ), then A(x)= G(0)/(4*x)- 1/(2*x), where G(k)= 1 + 1/(1 - 2*x*(2*k+1)!/(2*x*(2*k+1)! + 1/(1 + 1/(1 - 2*x*(2*k+2)!/(2*x*(2*k+2)! + 1/G(k+1) ))))); (continued fraction). - Sergei N. Gladkovskii, Jul 10 2013