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Numerators of row sums of the triangle (lower triangular matrix) log(F) with F:=A037027 (Fibonacci convolution matrix).
1

%I #3 Jul 23 2012 10:34:51

%S 0,1,3,9,17,15,142,52,2371,1481,3673,576,23341,10085,344857,3298871,

%T -296356,-61122461,406758376,11033588009,451828963,-128048475089,

%U -900388555615,4122838816531,1124813051005634,-220071533198789,-22575111900222262,271507756187465,100726408133038141

%N Numerators of row sums of the triangle (lower triangular matrix) log(F) with F:=A037027 (Fibonacci convolution matrix).

%C The denominator sequence is A181350.

%F a(n) = numerator(sum(T[n,m], m=0..n)), with the matrix T:=log(F), where F:=A037027. Offset of the lower triangular matrix T is [0,0].

%e The signed rational sequence starts with [0, 1, 3, 9/2, 17/3, 15/2, 142/15, 52/5, 2371/210, 1481/105, 3673/210, 576/35, 23341/2310, 10085/693, 344857/6006, 3298871/36036, -296356/2145 ,...].

%K sign,easy

%O 0,3

%A _Wolfdieter Lang_, Oct 15 2010