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Coefficient triangle of polynomials used for numerator of g.f.s for column sequences of array A078739.
4

%I #4 Sep 27 2012 12:45:13

%S 1,1,8,1,48,180,1,160,3204,8064,1,400,24972,311328,604800,1,840,

%T 125468,4654656,42454080,68428800,1,1568,476728,40968960,1073980368,

%U 7803233280,10897286400,1,2688,1490328,254542720,15076235088,306406471680

%N Coefficient triangle of polynomials used for numerator of g.f.s for column sequences of array A078739.

%C The polynomials are po(n,x) := sum(a(n,m)*x^m,m=0..n-1). Companion polynomials are pe(n,x) := sum(b(n,m)*x^m,m=0..n-1) with b(n,m) := A089275(n,m), n>=1, po(1,x) = 1 = pe(1,x).

%C For the recursion relation of these polynomials and the triangles see A089275.

%K nonn,easy,tabl

%O 1,3

%A _Wolfdieter Lang_, Nov 07 2003