A156929 - OEIS

%I #2 Mar 30 2012 18:59:44

%S -6,-79,-515,-2255,-7321,-17280,-20052,73530,683280,3482667,14574887,

%T 55023247,194872885,661036370,2174736558,6996176016,22133771190,

%U 69145507605,213941135265,657095902685

%N G.f. of the z^2 coefficients of the FP1 in the third column of the A156921 matrix

%F a(n)=18*a(n-1)-146*a(n-2)+706*a(n-3)-2268*a(n-4)+5102*a(n-5)-8246*a(n-6)+9654*a(n-7)-8131*a(n-8)+4808*a(n-9)-1896*a(n-10)+448*a(n-11)-48*a(n-12)

%F a(n)= 1/18*n^6+1/2*n^5+169/72*n^4-n^3*2^(n+1)+29/4*n^3-9*n^2*2^n+ 1123/72*n^2 -37*n*2^n+ 101/4*n-90*2^n+135/2*3^n+45/2

%F G.f.: GF3(z;m=2) = z^2*(-6+29*z+31*z^2-283*z^3+245*z^4+298*z^5-286*z^6-108*z^7)/((1-z)^7*(1-2*z)^4*(1-3*z))

%Y Cf. A156927

%Y Equals third column of A156921

%Y Other columns A156928, A156930, A156931

%K easy,sign

%O 2,1

%A _Johannes W. Meijer_, Feb 20 2009