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A156929 G.f. of the z^2 coefficients of the FP1 in the third column of the A156921 matrix.

%I A156929 #4 Jul 22 2025 06:22:06
%S A156929 -6,-79,-515,-2255,-7321,-17280,-20052,73530,683280,3482667,14574887,
%T A156929 55023247,194872885,661036370,2174736558,6996176016,22133771190,
%U A156929 69145507605,213941135265,657095902685
%N A156929 G.f. of the z^2 coefficients of the FP1 in the third column of the A156921 matrix.
%F A156929 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 A156929 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 A156929 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 A156929 Cf. A156927
%Y A156929 Equals third column of A156921
%Y A156929 Other columns A156928, A156930, A156931
%K A156929 easy,sign
%O A156929 2,1
%A A156929 _Johannes W. Meijer_, Feb 20 2009